There's elemental magic, think the benders of the two Avatar series or the Planeteers. Though it wouldn't be limited to the four classical Greek elements. Someone could totally have an "elemental" affinity for pond scum or sewage but the first wouldn't be useful that often and the second would be disgusting.
There's mental magic, so it involves things like illusions and telepathic communication and scoping out a place in an out of body experience and whatnot. Your imaginary friend who isn't actually imaginary is a being that can only interact with with the physical world via communicating with someone, you in the case of your imaginary friend, using mental magic.
There's body magic, which has the drawback of being a thing that usually doesn't like to conforming to your provincial ideas of aesthetics, can let you become more durable, grow claws, transform into a Hulk-esque creature, or just plain shapeshift. (Werewolves inherently have this, but the same process that's winnowed it down to merely changing between two forms has also watered down the grotesque aspect so they change into wolves, not wolf-esque misshapen things from body horror nightmares.)
And then there's the one that I'm having trouble with.
I want there to be environmental magic. The only power the practitioner has is to call upon the environment, and the magic inherent in the environment is was does the actual work.
But what does that mean?
It needs to be different from elemental magic, you're not doing earth / fire / air / concrete / water / tree / whatever bending by another name. In a woodland setting one might imagine that it's somehow related to trees and bushes ("I shall ask nature to bind you with vines"). but what's the inherent magic in, say, rocks? Or a city?
Magical traffic lights only get you so far; what're the magical properties of a back alley and what can one do when an inhabitant needs help?
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The basic idea is that places are imbued with a magic of their own, and environmental calls upon it. The problem is that I can't figure out what, "A magic of their own," should be.