Well I love a good RPG, so...
Chrono Trigger, Pokemon, The World Ends With You.
You can also get some great Nintendo exclusives like....
New Super Mario Bros, Super Mario 64 DS, Zelda stuff.....Mario Kart.
And CHRONO TRIGGER!!!!
Edit:Lemme explain Chrono Trigger. It is one of the best RPGs on the SNES, and one of the best of all time. It has a fun and engaing batle system, and a great story that kept me playing for a long time. And I'm still playing it!
Pokemon is just an addicting franchise. Turn based RPG with a lot of strategy.
The World Ends With You uses a 2 screen combat system that keeps you entertained once you figure it out.
Mario and Zelda are just that. I shouldn't need to explain it. Mario jumps over pipes and you find boomerangs and stuff in Zelda. Yay.