Some titles really speak for themselves, or ought to anyway.
“You’re a ‘Magekiller,’ eh? So what does that involve, exactly?” * --last words of Ethelred the Illusionist*
Technomage: Cult/school/fraternity of the Babylon 5 universe who do “magic” through high technology.
Not according to Terry Pratchett
flippermancer - a pinball wizard!
Call me crazy, but how about “enchanting”?
Lepimage: Has power to conjure rabbits out of thin air. Unfortunately, nobody has ever found a practical use for this ability outside of stage performances.
What about the famous arcanist Hassenpfeffer the Magnificent, Conjuring Connoisseur of the Culinary Cuniculus?
Magical Thief–spells for burglaring.
Triviamancer: Able to divine the future, but only WRT completely unimportant and uninteresting matters.
(SNL once did a skit on this with Christopher Walken (of The Dead Zone movie): “John Smith, Trivial Psychic!”)
Heisenbergomancer - can manipulate an object’s speed or position, but not both at the same time. Distantly related to the:
Higgsbosonometricist - very abstracted specialist that contemplates and manipulates the ultimate laws of the physical universe. Completely incomprehensible to other magicians. Prattles incessantly about some alchemical Holy Grail (also completely incomprehensible) referred to as The Grand Unificator. Very, very good at blowing shit up, however.
How about ‘Artificer’? That’s a good name for people who build machines that incorporate magic into the design.
There’s a Young Adult book about a wizard apprentice who has a skunk for a familiar that I can’t remember the name of right now, but in their world they take the interesting step of dividing all magical schools (Basic categories like Weather and Potions) into theoretical/academic and experimental/practical disciplines, and having one school solely dedicated to the creation of new spells, which is again itself split into two disciplines.
Oh, and I guess that’s two types I haven’t seen here yet: A Weatherworker and a Potiontiate.