Re: T. Sax rep
As tenor saxophone is sort of an anomaly when it comes to classical music, I've not heard of any "gotta know" pieces. There are recommendations in Larry Teal's "Art of Playing Saxophone". Every player should have that book nearby anyhow, if you don't happen to have it already.
I've transcribed accompaniment for various alto saxophone solo pieces so they can be played on tenor, and they've worked out quite well. Claire de Lune, The Old Castle, Apres Un Reve. Some of the slower, morose pieces for alto sound great on tenor with the right accompaniment.