PS1: When I was about 4 (15 now) my dad used to rent PS1 games to burn a copy for use on our mod-chipped console. He burned a copy of Oddworld: Abe's Oddysee, and I was in love. Ever since that little age, both Oddworld: Abe's Oddysee and Oddworld: Abe's Exodus have been my favorite games of all time (I like Exodus more). Very original games, love everything about them. I was dissapointed in Munches Oddysee for XBOX though :/
PS2: Kingdom Hearts and Tony Hawks Underground