I grew up on SNES games and feel I have to get the SNES classic mini, probably as a Christmas present for my self ;-).
Here are some games on the SNES classic mini that I remember vividly from my childhood:
Super Mario World
Donkey Kong Country
Secret of Mana
Contra III: The Alien Wars
The Legend of Zelda: A Link to the Past
But it will be fun playing the other games to, some that I never played before.