This is your first Nintendo console? Well then you could probably get a lot of mileage out of the virtual console. I'd recommend sampling titles from various Nintendo Franchises.
Supers Mario Bros. (NES) and Super Mario 64. (N64)
The Legend of Zelda: Link to the Past (SNES) and Ocarina of Time (N64)
Donkey Kong Country (SNES)
Super Metroid (SNES)
StarFox 64 (N64)
All good places to start.