Ape Escape, Rayman, MediEvil, and, although unrelated to Playstation, Toy Story and A Bug's Life.
I have 3 that I can't choose between.
Brave Fencer Musashi
The Legend of Dragoon
Final Fantay Tsctics
I know Tactics is Final Fantasy but I love this game to much not to put it on the list.
I just remember and can't believe I forgot
Megaman Legends 1 and 2
"You know the carnival comes and goes. If you wait for a while, it'll always comes back to you..."