This list is incomplete if you don't include Minecraft, the canonical sandbox game. Play in creative or in peaceful mode, and you don't have to do any fighting at all (though some resources are still best collected from mobs).

Other categories of nonviolent or non-FPS games would be puzzle games like Tetris or Candy Crush. Also, video games can reproduce or make single-player versions of the classic board, card, and dice games like chess or yahtzee.