It's really hard to narrow it down to 10 games. I'll list some of my all time favorites in no particular order and only 1 game per franchise:
Ocarina of time
Super smash bros. 4
Super metroid
Resident evil 4
Super Mario 3
Chrono trigger
Castlevania 3
Megaman X
Monster Hunter 3
Pokemon emerald
Honorable mentions: xenoblade chronicles, conker's bad fur day, metal gear solid 3 (yep, it's on 3ds guys!)