just from the top of my head
ps3: heavy rain, uncharted, infamous, little big planet, demons souls, 3d dot game heroes, valkyria chronicles, and you could count the sly collection and god of war collection since they are not sequels to previous collections.
xbox 360: alan wake, gears of war(i think this may have been ported to pc, not entirely sure though)
wii: wii sports
EDIT: i thought i read they had to be exclusive too but i guess not, in that case ill add nier, assassins creed, darksiders, bayonetta, heavenly sword (even though that is a ps3 exclusive i just thought of it now), eternal sonata, resonance of fate, and dragon age. that should be plenty of pretty good single player games to get you started for your ps3.
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