Tekken 3 was a beast. That game is still good, even today.
Soul Edge really nice too.
Street Fighter Alpha
Tekken 2 amazing
Ridge Racer Type 4
Ace Combat
Tales of Destiny
Namco did a great job for PSX, as good as the work of Rare for the N64.
Both were good systems in the end.
Edit:
I forgot Squaresoft (Vagrant Story, Xenogears, FF Tactics, FF9, Chrono Cross, Parasite Eve...)