A wizard of earthsea has the best magic school. It’s the start of a very loose series, but can be read by itself.

It’s only one book, but in my childhood I read Wizard’s Hall by Jane Yolen, which takes place in a magical school.

Myth books by Robert Aspirin.

Mother of Learning by Nobody103 - free webnovel, complete now I think. Wizard student gets stuck in a time loop and uses this opportunity to become OP and solve the mystery.

Diane Duane’s Young Wizards series, if middle grade is okay.

I second Earthsea.

Spellwright seems like it might be good but I haven’t got far in it yet.

The Black Magician trilogy by Trudi Canavan. It’s been a long time since I read this, but Canavan is one of those authors who’s popular and has a lot of books out but is weirdly never mentioned online.

Also try L.E. Modesitt Jr. If you haven’t. Either the order mage series, or Imager maybe. Most anything by him will have a lot of studying. They’re very good if you like his specific flavor of writing.

Edit: Vita Nostra being described as just “magic school” is very funny to me, although I do see where it comes from lol.

Edit 2: I remember the Charlie Bone books being good, but again those are middle grade and it’s been ages since I read them. No idea if they hold up.

Forgot to add, I’d be happier if it’s a complete series.

The Book of the Ancestor series by Mark Lawrence.

The Young Wizards series by Diane Duane if middle grade is okay.

Spellwright also seems promising but I haven’t finished it myself.