My favourite one that I actually owned and played my favourite games on has gotta be the N64. I owned a physical copy of Ocarina of Time, Smash Bros, Mario Kart 64, Goldeneye, Pokemon Stadium...
I've never owned a PS1 so I only played most of those games way later (one of the few exceptions is I got to play the intro to FF7 at a cousin's house, which was/is incredible, especially back then).
I owned a SNES, and I owned a bunch of physical copies of amazing games (Mario RPG, Mario Kart, Mario World, Donkey Kong Country, NHL 98...), but the thing is there were so many incredible games on there, and I only got to play stuff like FF3/6 later, same with Link to the Past, Harvest Moon, Dragon Quest V, Super Metroid and many more

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So yeah, if you don't count ports/emulation on other consoles and PC, it's gotta be N64, but if you do include all that it's gotta be the SNES. PS1 was incredible too of course, but I think SNES was even better.
Oh yeah, and of course Dreamcast had some of the greatest games of all time, but it didn't have that many games, and I never even knew it existed until after it was gone.