Not sure what you have and have not played but here goes.
Earthbound, which is now on Virtual Console (Wii U, not sure about Wii)
Super Metroid
Metroid
Chrono Trigger. Definitely get this if you haven't played it. It's available on SNES, DS, VC, even iOS and Android.
Mega Man 2 - One of my favorite Mega Man games, even though I'm not that big of a fan.
Super Mario RPG - Legend of the Seven Stars
Super Mario World
Donkey Kong Country
The Legend of Zelda: A Link to the Past
Super Mario 64
Legend of Zelda: Ocarina of Time. If you have not played this you owe it to yourself. It was a revolutionary game at it's time and some still consider it the best game ever.
I think that covers some of the must-have games and it will definitely get you started, unless you want to get into the early Final Fantasy games, but I'm not a big fan of that series so I won't recommend it.
Been away for a bit, but sneaking back in.
Gaming on: PS4, PC, 3DS. Got a Switch! Mainly to play Smash
