I actually liked the PSX quite a bit better than the N64.
Reasons PS1(X) is good:
1) Great controller using new analog abilities while still having the old d-pad
2) Great games with awesome graphics
3) Building on franchises and creating new ones that appealed to the modern consumer.
4) Ape Escape
5) More but not going to be mentioned
Reasons N64 is good:
1) Great controller using the new analog abilities while still having the old d-pad
2) Great games from old Nintendo games but with wwaaayyy better ideas in 3-d.
3) Ocarina Of Time
4) Placing more buttons on the controller allowing games to become a little more complex if needed.
5) Mario Party 1-3
6) Smash Bros.
Reasons PS1(X) is bad:
1) Controller broke quite easily
2) A Bug's Life
3) Ape Escape (I realize this is also in the good area)
4) More but not mentioning
Reasons N64 is bad:
1) Variety in gaming
2) Variety in characters
3) Controller design....kinda don't know where to put your hand depending on which game you play.
4) Using 64 for all of the titles....annoying!
5) More but not mentioning
Overall they both have cool upsides and horrible downsides but in general the PSX dominated over N64 because they had more action based games while N64 was more family based, like the Wii is today.