In no particular order and with limited time thinking about it:
- Kirby Super Star
- Mario Sunshine
- Sonic Adventure (1 & 2 if I may)
- Guitar Hero
- Zelda: Link to the Past
My first console was a NES I inherited, but the first console gotten for me was a SNES, and the first console I received new in box was a GameCube. PS2 underrepresented in this list although Guitar Hero was on there and that game was wildly important for getting me more interested in music in general.