The Shannara series by Terry Brooks has a reputation as being an homage to LotR, and they are quite enjoyable.
If you want to try and branch out and give Urban Fantasy (magic, but more modern society) a try there’s a reason that the Dresden Files by Jim Butcher are super popular. The book Dead Beat was written as a mid-series introduction for new readers to the series because Sci-Fi had just come out with a TV series and the 1st few books are weaker because the author was super new to published writing.
Magician: Apprentice & Magician: Master by Feist are great
Long before there was Harry Potter, Ged from A Wizard of Earthsea by Ursula K Le Guinn was discovering he had magical talents and going to wizard school. It’s a beloved classic for a reason.
JaymesRS