I'm currently working on the first two movements of Beethoven's Moonlight Sonata... the third is a very long-term goal, I can play the first page at almost full speed (except for the last two sets of ascending arpeggios in the right hand which are quite tricky!). I'm also bouncing back and forth between two Scarlatti sonatas (apologies, I can't recall the catalogue numbers exactly at this moment) and a couple of Chopin nocturnes, which brings my total to 3 nocturnes and 2 or 3 waltzes by Chopin. Oh, and I was working on the first movement of Beethoven's Pathetique sonata for a while - haven't touched it in a while, but I got through over half of it with a few months of practice and made extraordinary progress in my playing thanks to that piece alone.
I am able to play Fur Elise quite well and have no troubles with that one. I have never heard anything about the other bagatelles, however. Would you advise I check them out? I have absolutely no idea what (approximate) difficulty level they are.