Heres the problem with this age old debate
Playstation had a library that was so deep and varied, and unique, and risky, and awesome, that the 'name the best games' discussion actually gets fractured and crazy. Its like going to a University library and going "find the five best books" like where do I begin. The n64 game selection is like going to the used video store and trying to find a gem in comparison.
N64 you WILL GET THE EXACT SAME GAMES MENTIONED OVER AND OVER.
Here we go
mario
zelda
banjo and the other identical rare platformers
Smash bros
Mario party
Goldeneye/perfect dark
Turok
wrestling games
nfl blitz
KI
waverace i guess
starfox
THATS ABOUT IT
there are about 3 genre of game there, they all had the same charactors and they were all fairly childish
Playstation one, off the top of my head, and i'm only going to list A+/five star/tier zero games
MGS
MGS2
Grand Theft Auto
Tony Hawk 2
driver
Castlevania SOTN
Ridge Racer 1
Ridge Racer 4
Tekken 2, 3
Gran Turismo 1 and 2
Street Fighter Alpha 3
TENCHU
MADDEN [insert year here]
GTA
BOSHIDO BLADE
Parappa the rapper
SOUL EDGE
Final fantasy VII
FFVIII
FFIX
Suikoden
Final Fantasy Tactics
Crash Bandicoot, 2
WCW vs the World
Smackdown
Street Fighter Collection
Silent Hill
RESIDENT EVIL
RESIDENT EVIL 2
Mortal Kombat Trilogy
COLONY WARS 2
EINHANDER
R TYPE DELTA
Abe: Oddworld
Megaman X
TOMB RAIDER 1 and TWO
brehs, N64 did not have the library, quality, variety, or games to hold PSX's jock there is ZERO competition.