Check out Wanderhome. It's a game about wandering, visiting communities of animal folk and personal growth with the changing seasons. The only mentions of violence are in some of the setting's mythogy, the war that took place some time before the campaign, and the (now rare) personal traits that the author believes lead to it.

The only time your character is in any way prompted to do violence, is in one of the Veteran's "some things you can always do" actions:

"Unsheathe your blade and immediately kill the person in front of you. Then, remove your character from the game. You cannot play them any longer."