For real this time:
PS1 - Azure Dreams, Final Fantasy VII, Final Fantasy VIII, Lunar and Lunar 2, Wild Arms, Mega Man Legends 2, Mega Man X4, Breath of Fire III
PS2 - Time Splitters 2, Kingdom Hearts and Kingdom Hearts 2, Final Fantasy X, Dark Cloud
PS1/2: Tony Hawk Pro Skater
Of course I played a lot more PS1 and PS2 games than this, but those are the really memorable ones.