I can only think of a few so I'll put some description about it, well some atleast.
Final Fantasy IX- This game kept me playing all the way to the end you get eight characters to use and overall it was one of the best game I've played had a very nice story as well.
Pokemon Crystal, Red, Blue, Yellow, Gold, and Silver- The first two generations of Pokemon were well worth the time to play. They were very enjoyable so I would say you should try them. Cant really say much about the games though just the same Pokemon.