For the three systems you listed, get ALL Castlevania games.
Also, get all Zelda games.
Get the Metroid games that came out on GBA, they're great.
And I would recommend dabbling in some SNES games, too. Like some Chrono Trigger, Super Metroid, FF4, 5, and 6. (If you didn't know, FF5 was not released in america, ff4 was as ff2, and ff6 was as ff3. So, japanese versions, ff4-6.) Legend of Zelda: Link to the Past is an amazing SNES game, but I think there's a GBA port.
And after you play Chrono Trigger and are amazed by it, play Chrono Cross for PSX.