I have a lot of love for the PS1. The NES/SNES/N64 were big parts of my life, but the PS1 was just huge. There's very little I don't love about it.
Logically, I think the SNES holds up better. When you get down to brass-tacks, the SNES represents a console at the peak of its chosen visual technology, which happens to be pixels. A well-made SNES game can be a joy to look at, almost like controlling a cartoon. A well-made PS1 game, on the other hand, might have been technically impressive at the time, but today will just resemble an ugly jumble of polygons over washed out, pre-rendered backgrounds.
In my personal opinion, though, the PS1 wins every time. There were a lot of great, unique games being made because it was a console that, by the very nature of its existence, was a huge risk, and thus drew in developers more willing to take chances. That, and I just love everything about the PS1's culture. The demo disks, that classic start-up theme, the memory cards, even the constant loading screens.