First wiener classical sonata

[psaiko]

I need some advice for my first wiener classical sonata. I am interested in one that is good for improving technique and musicality, and is not extremely overplayed (like pathetique or moonlight). Recent pieces I have played or am learning

Liszt: Un sospiro
Chopin: etude 10/3, nocturne 48/1, fantaisie impromptu
Grieg: Wedding day at Troldhaugen
Bach: prelude 2 from WTC 1, three part invention number 2
Sæverud: Giant of revolt

For the moment I dont have a teacher, but will get one in a month or so. What sonatas are within my reach and best fits the above criteria? Preferably one by beethoven. Tempest and appasionata are my favorites. I guess appasionata is too difficult, but how about tempest?

It would also be nice if someone could list beethovens sonatas in the order of difficulty, especially the named ones.