SNES had a lot of classics, but they were primarily Nintendo 1st party. For me, the OG PS stands out as the system favorite. Far more franchises were born on that thing than anything that comes to mind and it holds the record for games I've owned on a system. It was a real renaissance IMO.
I dunno. The SNE had a ton of games that weren't first-party Nintendo games that are some of my all-time favorites. Chrono Trigger, Final Fantasy VI, Illusions of Gaia, Super Bomberman, Final Fight series, Street Fighter II, Sparkster, Super Castlevania IV, and many others!
I love the PlayStation as well, but a large number of those games just don't hold up. A lot of the early 3D games are rough and hard to go back today. Gameplay wise stuff like Metal Gear Solid and many of the RPGs stand the test of time, but those are few and far between from the games that don't hold up on the system.
The PlayStation was ultimately more popular and had a longer lifespan than the SNES too and being a CD based console meant it was cheaper to make games for so we ended up with a lot of shovelware especially towards the end.