Random worldbuilding idea: a culture where everyone is a goth, but for perfectly sensible environmental ressons.
Wearing mainly/almost exclusively black clothing because either the dye protects them/the fabric from something in the environment, black clothes are the most convenient ones to maintain, or then a century ago black dye was extremely difficult and/or expensive to produce and only the wealthiest of society could afford it, but now a cheaper dye method has been invented and after a huge trend of Now Everybody Can Wear Black, it just stuck and nobody even remembers why all clothes are dyed black. It's just tradition.
Everyone wears demonia-style platform shoes because the climate is wet and cold, and for most of the year the ground is either muddy or covered in icy slush, so knee-high tall boots are simply the most pragmatic way to keep the rest of your clothes reasonably dry and clean.
Silver and leather jewellery is widespread because the land is rich in metal ore - while the rich can afford to buy/commission delicate silver threads, even the peasants can afford some sort of rough iron chains and studs on their wristbands. Studded leather is more sensible than having metal rings touching skin directly, due to the cold weather. Studs and chains also double as armour and weapons which technically speaking don't count as such, allowing people to circumvent any "can't openly carry weapons during peace time"-laws. Law enforcement could not confiscate someone's bling without causing public riots.
Everyone is about as pale as their natural complexion allows since the climate is cold and dark and the sun does not rise much during the winter. Cold dark winters are also the reason why the culture is so morbid in general - in the heart of the darkest months there's fuck all else to do than write poetry about the moon's silver light and the howls of wolves and the beauty of death, while polishing your iron chains until they shine like silver.
Domesticated ravens are more covenient for messenger birds than doves are, as they're hardier and can manage the climate better. Even if more modern messaging technology has been invented, people prefer sending letters by bird because it's more romantic and poetic. Sending someone a raven message poem about how you'd like to be buried in the same grave together one day is a very standard way of flirting.
commensalism between slime monsters and certain varieties of fish
The vampire: She first comes to you as a shadow entering your room but takes fleshy form as she comes to the seat of your bed, wearing men's clothes from centuries ago. Though she is not of this world anymore you can tell that she once was human, even if such humanity is long forgotten. Her mouth shifts, from something massive and monstrous, with many fangs and moving parts, to something more humanoid, though still with sharp steel fangs in place of teeth. She sings to you and old forgotten song, of gods only spoken about by humans in taboo whispers, and fleshes you look of her ever-young bright red eyes. You begin to harmonize, your voices meeting as equals, as she begins to rest on your lap, and let herself be pet like a cat. You feel the shape of her body, it's so cold. She begs for your blood in song, and you give it to her as you pet her head, her mouth opens up to its monstrous size again, but she's so loyal and submissive as she drinks from your hand, like a bird eating right out of your palm.
The ghost: The room fills with red, as red and a blood moon, and red as a fresh beating heart. Spirits rise and you see something ancient lash towards you, hir hands like a mantis's claws, hir face like a skull yet featureless save for two dark eyes, hir red body covered in bug like limbs and tentacles and shimming egg cases. Sie turns hir head to look at you and sie rushes at you like a deadly predator but passes through you, eldritch ghostly wires wrapping around hir like chains to pull hir back to you as sie bows, defeated, begging with only a look not to be banished. You're not sure if sie is terrifying, pathetic, or honorable, but as you put your hand out sie seems somewhat honored to be allowed to stand up. You wonder what sie's thinking but you don't think to ask, it's only barely dawned on you that such an inhuman creature has a mind like yours, that sie is sentient, that hir race was much like yours when they were still alive. You just look at each other for a good amount of time, not sure who is more powerful.
The angel: They first come to you in an empty subway station, the ruins on the ground barely keeping you safe from them. Yet they look forlorn, like they would not have the energy to hurt you. Their form is pale and ghostly, white and colorless, the only mark of brightness being the blood that stains their hands, and wings. Chains weight down their slender body, as a veil hides their face. For a small moment they spread their six great wings, showing you their true size and power even in their cursed state. Eye sockets open for you for a brief moment, all over their body, all of them empty. Terrifying as they are none would deny that they are in great pain. You reach your hand out and gently whisper "it's ok" as they slow down and look at you as if they have not seen such sympathy from a creature in a long time. They extend a hand for you to hold, and you grab it, pet it for a slight moment, and you can feel a long dead fire seep through your veins. "It's ok." "It's ok."
The faceless woman: Deep beyond the city limits, where no light shines save for the stars, you see her, spiderwebs and shadows her friends, and faeries and dead gods her masters. She looks like a human at first, tall and long haired, in a ragged suit that covers her flesh. But then you see her head, and where her face could have been there is only a black pick, a hole that no normal human could survive to have. It looks at first like the void is of pure darkness, but inside it you have catch a glimpse of countless teeth like a lamprey's. She seems to laugh though she has no mouth, amused that a human would think to approach her, but you approach her even more, wondering what she even is. She suddenly gets excited as she sees something in your eyes, sees that you won't back down. You offer her some raw meat, a sign of good will, as you put it in her hands, she consumes it by causing it to melt into dust in her hands. She looks at you, as an ally, an accomplice, if she could, she would have smiled.
Paladin: She stands before you, bowing strangely, so submissively, though she's so obviously strong enough to rip you apart. It's strange to think this creature is actually in your room, that she's actually yours, that she was once a human like you. You can see where the plate and chain is fused to her neck, her hands eternally attached to her sword and flintlock, her eyes looking up at you wish a strange sadness. There's blood on her face and hair that will never wash out. As you come closer she seems afraid of you, like you could ruin her in ways that she could never hope to ruin you, despite her power and prowess. You ask if you can pet her head and she nods, you aren't sure yet if she could speak to you if she wanted. When you so gently pet and stroke her face and hair, she seems so happy, so happy to have someone treat her in such a way. You tell her that she's doing well, that she did a good job, it seems like she needed to hear that.
Autumn faerie: He looks down at you from the tome that he walked out of the world around them blackened until he's all that you're able to see. A smiling mask rests on his face, and far more cover his body, the only clothing on his strange body, almost human, almost extremely not human, bright wings sprouting from the flesh of his back. He looks at you, studying you, like he already knows so much about you but now he finally gets to see you. Is he impressed? He at the very least seems as if he's satisfied. He hands you a mask, you don't know how, but it looks like you, not literally, it looks more like an animal then a human, but it looks like your true face, like just as you summoned and bound him with his true name, he gets this from you in his return. You put on the mask, the deal is signed at it rings with pleasure, you'll never be the same again.
Harpy: You first see zir on a fire escape, the lights of the buildings around zir shining like stars against the starless night sky. You can only see zir eyes at first, shining gold against the darkness of zir body. But you call zir into your apartment with a forgotten tongue and watch a ze lands near you, so very alien but so very close. Zir body is marked by feathered wings, and zir form are like a bird's from the waist down, blue and white and gold as if they were painted, you can tell zir body was crafted directly by the gods themselves. You call upon zir with a song long forgotten and wondered what the look in zir eyes means. Though ze is beautiful ze has taken lives, and though ze is humanlike in some regards to zir shape, zir movements are so alien. You let zir carry you, and it feels strangely good to be held, and let zir fly with you, above the city streets, looking down at things most will never see, at birds and clouds flying past you, and at the world below, so many people, and somehow you feel safe with the wind rushing past your hair.
Incubus: You see him, sitting in an empty office building. His humanoid form is slender and short and more pretty than he is handsome, the only reason you think of him as male being his flat chest. You can he's now human from the raven's wings and scorpion's tail on his back, the branching horns and snakes for hair on his head, his sharp teeth and the stars shaped pupils. The clothing he wears is loose and comfortable, as if it was chosen in a state of depression. You expected more confidence when you summoned him. He backs away from you afraid, afraid of what you'll do to him. It looks like monster hunters got to him before you had a chance to, he's lucky to even be alive. You set out some rat's souls for him to eat so he'll trust you more, and you assure him that it's ok, that he's safe. He starts crying a bit as he looks at you, and after he finishes eating you offer to hug him. He lets you and you feel his body be surrounded by your, afraid but enjoying the affection so much as you assure him again that you won't hurt him.
Golem: They sit by you in abandoned mall, displaying so much power as they move steel pipes to the side to get closer to you. Their strength mired by the way even the smallest rip seems to be something them need to avoid. You look at them, their body so perfectly created, like human sized origami, the letter of life on their head being the only thing that marks their pure white paper body. You ask them to follow you, but they won't follow, a single puddle blocks their path, no obstacle for you, but even a being of their power has weaknesses. You slowly clear it, putting objects you can find over the puddle until finally they can follow you out into the light, still afraid of the sky you hand them an umbrella, just in case...
Undead: You first see him in a dark alleyway that the sun cannot meet him in. You wonder how many dimensions he's been to, how many dimensions he's been from, before he got here. He looks at you with three eyes of different colors. Skin stitched together across him, of different colors and textures and levels of rot, clothing resting on him from several different lives. He chatters, first in one voice asking where he is, where he could be. Then another voice questions you, wondering who you are, why you'd want to see him. Another voice looks at his own face in a piece of shattered glass and screams in terror. For a moment you think he'd attack, you're not sure if the spell would protect you. But he doesn't, he just looks at you for a while, confused perhaps. You ask him if he wants to follow you, and he seems to. Within his storm of countless voices, he decides to ask you, almost with all at once, "who am I." After thinking for a while you decide to answer, "You're you."
Demon: You stand in a closed down amusement part, the sea beside you shining like in the moonlight as he rises out of the water. He's massive; larger than you expected. His body a pale white as he rises out of the newly boiling water, his three heads eat long and sharp toothed like an alligator's, his eyes as red freshly cut meat, seven tattered wings on his back expanding to nearly cover the sky. He laughs, you're not sure how sadistic or how genuine it is considering the unreadable expressions of his reptilian heads. He charges at you with his teeth gnashing and blood pouring out of each of his mouths. But the spell blocks him like a shield made out of the air. As he fails to attack you more, he becomes frustrated, then tired, and rests on a rollercoaster. He seems to respect you knowing you were able to bind him like that, and regardless of if he likes it or not, he's yours now.
Shapeshifter: She slowly walks towards you out from the tunnel, she experiments with forms to see how you react; a small white kitten, a robotic humanoid woman, a long-haired demoness, a woman made out of blue slime. You can tell she's seen a lot of creatures before, that you're not her first master, she's known vampires, and werewolves, and demons in her time. It doesn't seem like many of them have been kind to her. You call to her and bring her closer with your magic. Slowly you watch her, you just wait as she changes her form, getting more experimental with the bodies she's willing to take. You just look at her, letting her be herself, letting her show you her art. Eventually she settles on something that feels like herself, something that she can be comfortable following you home with.
are either of these stories good? cause they sound really interesting
On the one hand, it's true that the way Dungeons & Dragons defines terms like "sorcerer" and "warlock" and "wizard" is really only relevant to Dungeons & Dragons and its associated media – indeed, how these terms are used isn't even consistent between editions of D&D! – and trying to apply them in other contexts is rarely productive.
On the other hand, it's not true that these sorts of fine-grained taxonomies of types of magic are strictly a D&D-ism and never occur elsewhere. That folks make this argument is typically a symptom of being unfamiliar with Dungeons & Dragons' source material. D&D's main inspirations are American literary sword and sorcery fantasy spanning roughly the 1930s through the early 1980s, and fine-grained taxonomies of magic users absolutely do appear in these sources; they just aren't anything like as consistent as the folks who try to cram everything into the sorcerer/warlock/wizard model would prefer.
For example, in Lydon Hardy's "Five Magics" series, the five types of magical practitioners are:
Alchemists: Drawing forth the hidden virtues of common materials to craft magic potions; limited by the fact that the outcomes of their formulas are partially random.
Magicians: Crafting enchanted items through complex manufacturing procedures; limited by the fact that each step in the procedure must be performed perfectly with no margin for error.
Sorcerers: Speaking verbal formulas to basically hack other people's minds, permitting illusion-craft and mind control; limited by the fact that the exercise of their art eventually kills them.
Thaumaturges: Shaping matter by manipulating miniature models; limited by the need to draw on outside sources like fires or flywheels to make up the resulting kinetic energy deficit.
Wizards: Summoning and binding demons from other dimensions; limited by the fact that the binding ritual exposes them to mental domination by the summoned demon if their will is weak.
"Warlock", meanwhile, isn't a type of practitioner, but does appear as pejorative term for a wizard who's lost a contest of wills with one of their own summoned demons.
Conversely, Lawrence Watt-Evans' "Legends of Ethshar" series includes such types of magic-users as:
Sorcerers: Channelling power through metal talismans to produce fixed effects; in the time of the novels, talisman-craft is largely a lost art, and most sorcerers use found or inherited talismans.
Theurges: Summoning gods; the setting's gods have no interest in human worship, but are bound not to interfere in the mortal world unless summoned, and are thus amenable to cutting deals.
Warlocks: Wielding X-Men style psychokinesis by virtue of their attunement to the telepathic whispers emanating from the wreckage of a crashed alien starship. (They're the edgy ones!)
Witches: Producing improvisational effects mostly related to healing, telepathy, precognition, and minor telekinesis by drawing on their own internal energy.
Wizards: Drawing down the infinite power of Chaos and shaping it with complex rituals. Basically D&D wizards, albeit with a much greater propensity for exploding.
You'll note that both taxonomies include something called a "sorcerer", something called a "warlock", and something called a "wizard", but what those terms mean in their respective contexts agrees neither with the Dungeons & Dragons definitions, nor with each other.
(Admittedly, these examples are from the 1980s, and are thus not free of D&D's influence; I picked them because they both happened to use all three of the terms in question in ways that are at odds with how D&D uses them. You can find similar taxonomies of magic use in earlier works, but I would have had to use many more examples to offer multiple competing definitions of each of "sorcerer", "warlock" and "wizard", and this post is already long enough!)
So basically what I'm saying is giving people a hard time about using these terms "wrong" – particularly if your objection is that they're not using them in a way that's congruent with however D&D's flavour of the week uses them – makes you a dick, but simply having this sort of taxonomy has a rich history within the genre. Wizard phylogeny is a time-honoured tradition!