Sly Cooper Collection and Sly 4.

I recommend Demon's Souls, then I say Puppeteer and 3D Dot Game Heroes

Do you really want to play PS3 games on it? The thing might brake every moment given you only paid 20$ for, keep it for nice up scaled PS2 games

Do I really need to tell you? Surely you know what I'm going to say?

Puppeteer?

Eternal Sonata, really nice looking JRPG about Chopin and the PS3 version has some extra content.

Killzone 2
Killzone 3
Resistance 2
Resistance 3

Disgaea 3, 4 and D2 (assuming they don't get ported to pc)
The loads of Tales of games available on PS3.
Eternal Sonata.
Both Guided Fate games.

Read dead redemption.

Motorstorm.

I’ll add Motorstorm Apocalyse to the list.