@Ultra64  
I like N64 enough (heck, I still have one with few games), but it criminally underuses my favourite genre (RPGs), as well as some of the other ones. And the cartridges were a VERY stupid idea for that time. Though the FPSs for it we’re amazing for their time.  
As for the PSX games you asked for…well, here we go ( / means alternate title):  
1)RPGs- there’s really a lot of those: Final Fantasy VII and IX, Chrono Cross, Breath of Fire IV, Valkyrie Profile, Grandia, Wild Arms, Xenogears, Vagrant Story (I’m a bit icky about this one, but people seem to love it), Star Ocean The Second Story, Suikoden II, Tales of Destiny, Tales of Eternia/Tales of Destiny II, Tales of Phantasia (has a translation patch)  
2)platformers- other than what Yoshi said, there’s Tombi/Tomba 1 and 2, Klonoa, Megaman X4 and 5, Ape Escape, Rayman 2( then again, this one was on every possible platform), Jackie Chan Stuntmaster  
3)adventure- well, this one is broad…  

@Ultra64  
Uuuugh… I should have known someone would bring up Zelda soon… e_e

@Da5ch
 
I never read truer words.
 
too bad im terrible at both games

Now after looking at this picture, my mind’s trying to match up what girl would ride what type of motorcycle.
 
@Ultra64  
Perfect Dark and Rogue Squadron ftmfw

@Factory Yoshi  
Eh, I’ll happily stick with my SNES from the previous console generation instead. :) Me and my family could never really get the hang of using that danged joystick controller for the N64, we much preffered the traditional SNES crosspad control scheme. xD

@Factory Yoshi
 
Perfect Dark is basically Goldeneye BUT EVEN BETTER.
 
There’s the ever present Ocarina Of Time and Majora’s Mask.
 
Star Wars: The Rogue Squadron is pretty cool.
 
Super Smash Brothers, of course.
 
And a bunch of other games. I’ve heard good things about Excitebike 64, for example (but haven’t bought it BECAUSE MONEY)

@Yet_One_More_Idiot  
Theres some really great N64 games, Super Mario 64 is a classic, theres Goldeneye, Star Fox 64 (Also known as Lylat Wars), Donkey Kong 64 Banjo-Kazooie and Banjo-Tooie, Doom 64 (The actual Doom 3) and there are loads of others

@Ultra64  
The N64…hmm, I never really got that into my N64. The only game I bought and played for it was Super Mario Kart 64 (well technically even that came bundled with the console), and after a year or so of playing that I got bored with the early-polygonal game and went back to enjoying all the Super Nintendo 16-bit games I had instead.  
Illusion of Gaia and Terranigma are still my faves even today. :D

@shinigamiPeter  
RPGs, platform games, adventure…
 
If anything, the only genres I don’t like are sports games, first person shooters and music games (think guitar hero or ddr).
 
Because I suck at those and I don’t need to be reminded of that.
 
I personally like the N64 better, but since a friend literally gave me his PSX for free (and his game collection but literally like 80% of the discs are so damaged they cannot be read, ever)

@Ultra64  
PSX games? MAH CHILDHOOD ;_;  
Well, it depends on what genre you like to play.

I recommend Final Fantasy IX.

@Ultra64  
o3o Well… theres alot of games, theres
 
Crash Bandicoot  
Crash Bandicoot 2  
Crash Bandicoot 3  
Crash Team Racing  
Spyro The Dragon  
Spyro 2  
Spyro 3  
Croc Legend of the Gobbos (It was on PC but it’s a bitch to make it run with the music)  
SpongeBob SquarePants Super Sponge (A nice 2.5D platformer)  
Pandemonium (Also on PC)
 
and I can’t really think of any others, but the Crash games, Spyro and Croc are some real PS1 classics

@Factory Yoshi
 
NO  
I WON’T FORGIVE YOU  
exit, dramatically
 
i have a ps1 and i pretty much dont have games beyond “ Symphony of the Night” recommend me some pls

As if people hadn’t made this joke already.

@Ultra64  
Super Mario 64 is awesome tho, I never said the N64 was a bad console, just PS1 is better :3 there is a reason I want to buy a Japanese N64… mostly just because I want an N64 that outputs 60hz but you know… :3

@Factory Yoshi
 
And the sound of my heart shattering? That’s… That’s normal too.

Sunset on a Motorbike, hell yeah

@Ultra64  
Cough PS1 is better Cough cough

@Factory Yoshi
 
Okay.  
I’ll just…  
I’ll just leave you.  
I’ll be on the corner doing deep breathing exercises. The tears are normal.

@Ultra64  
Be quiet you prototype N64

@Factory Yoshi
 
Not a very funny one, I fear.