As for me, I'd have to go for Nintendo 64
It's just the ultimate console! It dominated an era that some people call "The Golden Age of Gaming". Whether you were looking for revolutionary graphics, long story-based games, multiplayer fun, casual gaming or sports, N64 could offer all of it. This was a time before Nintendo tried to be overly innovative(which I don't mind in theory). A time where Nintendo offered both brilliant exclusives and other games such as FIFA and Tony Hawk's Pro Skater. And for the FPS maniacs, the console had two of the most legendary FPS games of all time: Goldeneye and Perfect Dark! And let's not forget the first two 3D Zelda games in history, one of which being considered the greatest game of all time by many gamers, and rightly so.
What makes N64 stand out from other retro(yes, N64 is retro now) consoles, is that its graphics and sound is done well enough for the games to offer great 'replayability'. The NES and SNES for instance, while being great consoles(especially the latter. It's my personal runner-up), are not that fun to play again now. Nostalgia aside, many of the games aren't nearly as fun as you remember, and the sound and graphics can potentially drive you insane if you play for much more than an hour. N64 is the perfect mix of pure nostalgia and great gameplay that still holds up today, and will continue to do so for a long time, imo.
For the sake of balance I will add two criticisms(I honestly can't come up with more than two):
1. The controller
Whoever desgined the controller must have been clinically insane. It's easily one of the worst controllers ever made. The joystick also got broken really fast.
2. No CD player
This is nitpicking of the highest order, but it's still one edge that the PS had over Nintendo.