My favourite games (because this discussion has also been going on the kirby boards) involve Terranigma, Chrono Trigger, Smash (for obvious reasons and also because it got me in to the competitive scene), Secret of Evermore (sorry a lot of SNES games ha), Beyond Good and Evil, the main three ratchet and Clank games, the first spyro game (would have been nice to play the later ones), Earthbound... the list goes on.
I have a weakness for games with good story-lines or really fun game-play. Most of these games above have successfuly incorporated the two in to a really enjoyable and worthwhile experience.