I'm interested. I was asked this once about 15 years ago by a Jehovas Witness who was saying he didn't play computer games because they concentrated on such things.
My first thought was to recommend Lemmings (hey, I said 15 years ago, right?) but then I remembered killing lemmings is often part of the game.
Adventure games routinely use death as the method of ending the game, though I can't say for sure now if that 'counted'. The Incredible Machine is probably the only one I could have come up with back then.
Still, I think games have matured a little since then so maybe there are lots more no violence, no death, no sex type games out there? I'm guessing they're shit, though.