Apart from being a sidescroller, it sounds like you might really like Noita.
Divinity: Original Sin 2 also has incredible magic co.bat, but that's top-down, turnbased tactics.
Or maybe Psychonauts? Not a wizard, but an assortment of ESP powers gained at a summer camp like boy scout badges as you go through the game. 3d platformer. But the powers and their variety are really fun.
And there's Witcher 3, which is 3rd person. But it's close 3rd person at least? Might not run on your machine though. Maybe the 1st game might? Though it has its flaws.
For first person... Hmm. A surprisingly tough call. Most of the 1st person games I know have really straightforward battle magic, the wizard game included. Which is kinda weird now I think about it.
The Dishonored games? If you're okay with steampunk setting (very well done steampunk though!) 1st person immersive sims. Stealth or kill everyone however you like with a nice assortment of magic powers. I'd put this on top of the list honestly. It's old and stylized enough it might run alright.
Prey, like dishonored, also allows you to learn (optional) magic powers and use them in a variety of situations, but it's also set in space, if that's a dealbreaker. 1st person though!
Or the Persona games? It's not strictly speaking classic wizardry, but it's definitely magic of a sort, and I think it should run on most anything, especially Persona 4 Golden. But the fights are turn-based strategy. And 3rd person. Goddamn.
Legend of Grimrock? It's an odd duck, and you learn magic slowly, but maybe it's the right odd duck for you? First person, real time but you and enemies only move along a grid, old-style dungeon crawler.