Unless you worship at the house of Nintendo/Rare i suppose.
Almost all of NIntendo (EAD, HAL, Intelligent Systems) and Rare's N64 games are indeed better than any games in their genres on the PS1. I love platformers, so this is important. All five of their 3d platformers are better than anything in the genre on PS1/Saturn, their two kart racers are better than any on the other systems ("CTR is better" people are crazy!), 1080 is better than any of their snowboarding games, neither one has a thing on either Zelda game (and OoT is, after all, still the best game ever made), Wave Race is the best water racing game of the generation (Hydro Thunder is close, but that's better on N64 than PS1 too), F-Zero X is better than any PS1-exclusive futuristic racers (and anyway Wipeout 64 is the best Wipeout game of the generation and Rush 2049 the best racing game ever made, but those are third party, even if they aren't on PS1/Saturn), I haven't played a PS1 or Saturn tennis game as good as N64 Mario's Tennis, or a party game matching Mario Party 2, or a third-person shooter anywhere near as great as Jet Force Gemini. Paper Mario is my favorite JRPG of the generation, too.
About the only genres where the Nintendo/Rare games aren't clearly better that come to mind is, first, 2d & 2.5d platformers, where Nintendo's two, Kirby 64 and Yoshi's Story, are both good games, but aren't better than the best PS1 and Saturn 2d/2.d5 platformers. But third parties step in again; Goemon's Great Adventure (N64) is exceptional and probably my favorite 2.5d platformer ever. The other genre I'd mention here is block-dropping puzzle games. The ones Nintendo published are pretty great -- Tetrisphere, The New Tetris, Pokemon Puzzle League, Dr. Mario 64. However, there are lots of great PS1/Saturn puzzle games too, that you can't find on N64. This genre is probably about even overall, for 2d puzzle games anyway. Howver, the N64 might be best at 3d puzzle games -- does the PS1 or Saturn have any as interesting as Tetrisphere or the third-party title Wetrix (it's on DC and PS2, but not PS1!)?
So yes, N64-era Nintendo and Rare deserve all the worship they can get!
Seriously, the Genesis is the damned best. Order in which I care about my systems right now:
Genesis
Neo Geo
Saturn
PC Engine
SNES
I don't know exactly why, but if I want a quick game I ALWAYS go Genesis first.
Do you mean this is what you're actually playing at the moment, and not a list of your favorite systems? Interesting idea... hmm.
Recently, what systems am I playing the most? In no order:
Nintendo DS (gah, Picross...)
Turbografx+Turbo CD
Xbox 360
Game Boy Advance (Digidrive is so addictive!)
Really though, I play lots of systems in little bits. I've also played PSP (getting back into Class of Heroes a bit...), Odyssey 2, Wii, Game Boy & GB Color, Virtual Boy, PS1, and N64 games fairly recently. Oh, and the Genesis some as well, though not as much as before I got my TG16 region-modded and the CD drive repaired last summer.
That said, my next 'Game Opinion Summaries' list really needs to either be the Genesis finally, or a PS1 update since I have lots more games for that I want to cover.