concerti that you can get played at most major competitions:
bartok 1,2,3
barber (probably only american competitions)
beethoven 1,2,3,4,5
brahms 1,2
chopin 1,2
gershwin
grieg
liszt 1,2
Mozart 20,23,24,27
prokofiev 1,2,3,4,5
Rach 1,2,3,4
ravel g, left
schumann
tchaikovsky 1,2,3
im sure i left out a few