1994-98: Nintendo's Peak Years

[Soundwave]

Dannythegamer said:

Soundwave said:

Dannythegamer said:
Nintendo's Peak Years are: NES and GB era and Wii and DS era.
SNES is is a lot of good too.
N64 is only good for playing Ocarina of Time and games from Rare. (and a few more pearls).
GameCube is a disaster. And the Wii U is an even bigger disaster.

Objectively speaking I don't think you can find a 4/5 year stretch that beats 94-98. 

94-98: Donkey Kong Country 1/2, Earthbound, Super Metroid, Yoshi's Island, Killer Instinct, Super Punch-Out!, Super Mario 64, Wave Race 64, Mario Kart 64, Blast Corps, GoldenEye, Star Fox 64, 1080, F-Zero X, Banjo-Kazooie, Star Wars: Rogue Squadron, Diddy Kong Racing, Pokemon, Zelda: Ocarina of Time. 

1988-1992: Super Mario Bros. 2 (USA), Super Mario Bros. 3, Kirby's Adventure, Super Mario World, Zelda II, Zelda: Link to the Past, Tetris, Super Mario Land, Super Mario Kart, F-Zero, Pilotwings. 

1999-2003: Super Smash Bros./Melee, Pikmin, Pokemon Stadium, Metroid Prime, Perfect Dark, Conker's Bad Fur Day, Mario Sunshine, Zelda: Wind Waker, Zelda: Majora's Mask, Luigi's Mansion, F-Zero GX

2004-2008: Nintendogs, Brain Training, Wii Sports, Super Mario Galaxy, Metroid Prime 3, Wii Fit, Mario Kart Wii, New Super Mario Bros., Smash Brawl, Zelda: Twilight Princess. 

What is your criteria for qualifying a game being superior to the other?

There's always going to be subjectivity to any debate of which game is better than the other. 

Though it should be noted that from 1994-1998 in Edge Magazine (largely considered one of the best if the not the best Western gaming pub), Nintendo won the Game Of The Year prize every single year in that stretch, which no publisher did before and no publisher has managed since.