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

Yes that was a great time.

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. 

Edge Magazine Goty, okay!
This is the opinion of a magazine, this is not a criteria .

EDGE is one, many, many other sources gave Nintendo multiple GOTYs during this period too ... DKC, Yoshi's Island, Mario 64, GoldenEye, Zelda: OoT is a five year span of games that virtually no publisher can match, oh and on top of that they also created a social phenomenon in Pokemon during that time. 

The only reason the N64 did not outsell the SNES and perhaps even the NES was because of the very poor decision to use cartridges only. But Nintendo/Rare themselves were absolutely brilliaint during the era. During this stretch I count no less than 7 games that are pretty much universally regarded as masterpieces today -- Super Metroid, Earthbound, Yoshi's Island, DKC2, Super Mario 64, GoldenEye, Zelda: OoT.

The NES era was a fun time too, but the SNES and N64 is where I think you really see Nintendo's youthful creative 'oomphf' really showcase itself in the most dazzling ways. It's like seeing a tremendous athlete at their absolute peak physically and mentally, still in their 20s. 

Yet the mere opinion of a magazine. The Edge opinion does not change the market.

The rest of the post are conjunctions and fallacies nailed by the media and neither deserve to be answered.

I might be a bit biased because I started with the NES and then moved onto the SNES, but if you use North American dates (which I will, since I'm Canadian), and going on first party titles only, the stretch from 1989 to 1994 would have been my pick for the golden era of Nintendo gaming.

You have two of the best Mario Games (SMB3 and SMW), Star Tropics, Metroid 2, Super Metroid, arguably the best Zelda game in A Link To The Past, Donkey Kong Country, and not to mention a whole boat load of third party exclusives like Ninja Turtles, Willow, Final Fantasy, the Ninja Gaiden series, Castlevania 3&4, etc. That was a great time to be playing on a Nintendo system.  Completely destroys the N64 years, in my opinion.

agreed

The big difference between the later SNES years an the early N64 years were that the SNES got a lot of other great games in that time period, but in 97 to 98, the N64 had almost no other game releases period. By the time Zelda came out, there was still only about 15-20 different N64 games on store shelves.