Limbo comes to mind as a game that's somewhat similar in tone to A Shadow's Tale, and it doesn't have a lot of enemies (it does have plenty of traps, though). The first two Oddworld games have similar gameplay, but also have a lot of enemies, so they're probably not quite what you're looking for.
Heavy Rain has very little combat and what little there is plays out as quicktime events.
Otherwise, you've got any stealth game worth its salt. Series like Thief, Splinter Cell and Hitman can be played without killing very many enemies. I especially like Thief 2, Splinter Cell: Chaos Theory and Hitman: Blood Money. Though it sounds like you're probably looking for more relaxing games.