Ahab hunted his white whale, and I sought a blue hedgehog.
Why isn't this a movie?
Anyway, I'd say the game that most influenced me in this way was Super Smash Bros. Melee. I think we all remember how awesome it was. It was the game that made people buy a GameCube and then completely forget that they had a GameCube. After playing it for a while, I began to wonder who the hell Marth and Roy were. This eventually led me to Fire Emblem, and that led me to the greatest goddamn game ever ever ever. EVER. (Oh, and a general love for strategy RPGs.) After that, the rest is history.