Additionally, I believe that many would consider a game to be non-violent even it wasn't completely nonviolent in a philosophical sense. For example, most sports games are considered non-violent, even though they involve adversarial conflict that often results in injuries.
Yes, my post was meant to be more of a philosophical thought than practical.
I know that most people who object to violent games do so because of the gore factor (ie: they object to God of War, but not to Mario Bothers, despite the fact that in Mario brothers you are stomping enemies to death, burning them, killing them with the corpses of their fallen comrades, etc
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You could probably re-theme a game like GTA and turn it into a non gore game and people might call it non-violent (it would probably be something like pac-man - now there is a violent game it is about eating your enemies "alive" before they eat you alive
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The important point of it though is that all games have conflict, it is an inevitable aspect of games. But, not all games have to be violent (and yes, you can have gory, non-violent games - think of a trauma game where you have to respond to accidents and such, this could be quite gory but have no violence in it at all as you are rescuing people).
But, as you said you are not looking for a non-violent game, just a non-gory game with indirect violence.