The Shadow Thieves by Anne Ursu is part of a series (The Chronus Chronicles) so you may be interested in book 2, The Siren Song, if you haven’t already read it. Since you mentioned liking historical fiction and since The Shadow Thieves (and Percy Jackson) have mythology, I’ve included some books below that have both of these and also a couple with a little fantasy/magic. Here are some other books that I hope you will like:

It depends on what elements of sociology and psychology and what ages/grades you are interested in. However, here are some that you
might find useful for teens of various ages (both Giles and Hautman tend to write psychological fiction for teens). I hope these help--

Invisible by Pete Hautman (mental illness).

Doug and Andy are unlikely best friends--one a loner obsessed by his model trains, the other a popular student involved in football and

theater--who grew up together and share a bond that nothing can sever.