I remember playing Vagrant Story a lot. Also like Digimon Rumble Arena. That game was an amazing multiplayer game at the time (still is for me )
Also enjoyed FF VII, never beat it though D:
And Strider 2, coolest ninja ever xD
Final Fantasy VII
Final Fantasy IX
Final Fantasy Tactics
Crash Badnicoot 2
Crash Bandicoot 3
Spyro the Dragon
Spyro the Dragon 2
Spyro the Dragon 3
Tomb raider 3
Silent Bomber
Metal Gear Solid
Pretty much what everyone else said, plus Super Robot Wars and The Game Maker. My goal is to someday learn text hacking for PS1 and traslate the latter game.
Currently playing: Legend of Dragoon on my PSP Go, stopped when the May announcement for the release of the game on PSN. Want to play it on the Vita so I'll wait it out.
Favorites:
Chrono Cross
Final Fantasy VII
Final Fantasy VIII
Final Fantasy IX
Legend of Dragoon
Tomba 1&2
There's a bit more, but this is what comes at the tip of my mind.
PS2 Free mcboot
PSP GO 6.60 Pro
PSP Vita 1.67
PS3 3.41 Hermes
Jtag Jasper Xbox 360