The games that I would recommend most would be the following:
1. Flower
2. Braid
3. Wipeout HD
4. Pixeljunk Monsters
5. Ratchet and Clank: Quest for Booty

Super Stardust HD
Soldner x (and get the sequel that's dropping soon)
Braid
Flower
anything Pixel Junk related (except cars or w/e its called)
Ratchet and Clank: Quest for booty
Trine

I don't even have a ps3 but I know that BRAID is the best game.

Braid, Flower, Shatter, Fat Princess, Pixeljunk (anything other than Racer), Critter Crunch, Wipeout HD

Those are what come to mind atm.

My favourites:
Wipeout HD and the Fury expansion
Flower
Super Street Fighter II HD Remix

Braid (if you didn't played it yet on 360)
Flower
Monsters

I have:
Shatter, looks good but got bored with it, ok though
Stardust HD- spent a lot of time on this, great game, 1080
Wipeout HD- must have, just to show what the PS3 can do, I play it often, 1080
Flower- another great, 100,000 blades of grass, beautiful, 1080
Battlefield 1943- good multiplayer game
Call of Duty Classic- play the first of the series, one I play multiplayer on pc almost every night
Zen Pinball- good pinball game
Warhawk- good but haven't spent much time with it, great graphics, steep learning curve
Gravity Crash- good old school arcade, cool retro graphics, music
Pixel Junk Shooter- just got this, seems great so far, similar to Gravity Crash but better

i've demoed:
Fat Princess- will buy eventually
Pixel Junk Monsters- good tower defense type game

There are a lot, I will check and get back to you when I get home

The pack WIPEOUT HD FURY!!!!!1080P

PSN:
- wipeout HD
- bionic commando

Also try Fatal inertia EX demo ... I like it a lot.

PS1 Classic:
- Castlevania
- wild arms 1 and 2
- Suikoden
- FF7