Though, unless you want to spend your whole time playing as a zombie, I wouldn't recommend Dark Souls for those who don't fancy PvP. Because, not only is there PvP, but it is, from what I've gathered, completely non-consensual. If somebody invades your world, prepare to defend yourself, or promptly shut off your 360.
One game I can definitely recommend for 360, though, is Red Faction: Guerrilla. Yeah, the story is a bit of an excuse to blow shit the fuck up, but that's always been Red Faction's main draw, and Guerrilla does it better than any other game in the series. Armageddon, in comparison, was quite disappointing.
You spend most of your time in Red Faction: Armageddon fighting aliens in a series of caves with very, VERY little freedom of movement.