NES - Super Mario Bros. 3, The Legend of Zelda
SNES - A Link to the Past, Donkey Kong Country (Chronotrigger and maybe Super Mario RPG but RPGs are not for everyone, and Mario RPG came out when the spotlight was no longer focused on the SNES and the N64 was already in full swing, plus it was psychotically expensive for an SNES game.)
N64 - Super Smash Bros., Ocarina of Time, Mario 64, Mario Kart 64, Goldeneye
Gamecube -
Wii -
GB - Tetris, Link's Awakening, (and for younger kids, the first two Pokemon games really are good introductions into the wonderful world of turn based rpgs, unfortunately Nintendo's over marketing has ruined what would have been a forgettable, quaint, and eccentric little game by beating us all over the head with it and destroying its reputation making it something to be loathed by anyone over the age of 11. In another universe, one where Pikachu was just one out of 150 like in the original game, this might have been considered a must have.)
DS -