Lucky for you, there's tons of great piano trio reportoire. Playing Tchaikovsky's great Trio was a very musically rewarding experience for me, especially as I had wonderful partners. This is a great trio to attempt, but demands a good deal of technique for all the instruments, particularly the piano. The 2nd mov't is much harder to coordinate than the first. The Ravel Trio is equally great, and even more difficult for all instruments (except maybe piano), and requires excellent string players.
For me, the problem with most trios is lack of assertion on the part of the pianist. Violinists are traditionally taught to lead, and cellos also in solos. Pianists are expected to follow, to "accompany." This is IMO the wrong perspective. In a piano trio, the piano is the star; follow when actually accompanying a violin or cello solo, but if you have the weightier part, go for it; just be continually conscious of how you choose to distribute the sound, greatly diminishing texture and non-essential parts. There are so many things to keep in mind in trio work, these are a few. Some other reportoire:
Mozart, Haydn, and early Beethoven trios, if you like this reportoire. In another thread I warned a new trio pianist that these are the most difficult to play effectively, and I still believe it.
Smetana g minor trio is a great, very expressive piece.
Faure trio
Schubert E flat major I prefer to the B flat major, and so did Schubert.
These are my favorites. For good, solid recordings you can also go with the Beaux Arts Trio. Very competent playing at all times.