My favorite game of all time, actually; Chrono Cross.
My early childhood I just hate turn-based games all-together. I didn't really get them and they felt so slow and bland... then I played Final Fantasy X and loved it kind of immediately. So after that 'awakening' I was sort of hype to buy any JRPG I could find and CC was on sale. Thing is, I was use to a PS2 JRPG and that had set my standard for the genre... so by comparison the first impression of CC was that it was really dated. So I played the very beginning of the game and stopped playing for like a full six months or more.
One day, I was really bored and had played all my other games to death, so I was like... "Sure, I'll try it again." I never put it down after that until completion, and have replayed it countless times. It just... clicked, I guess. Maybe because I went in knowing what to expect it to be like.