Portal and Portal 2 are absolute classics which I cannot recommend highly enough. The story in the second game is fairly detailed, and the way that it tells that story through gameplay is absolutely phenomenal. Life Is Strange is a well-done adventure game. It's not quite *zero* violence in that the story takes some turns, but you're fundamentally a high schooler in a relatively normal setting, I wouldn't expect you…
Does Portal really count as “non-violent”? You commit murder at least once.
But also one thing you can do is play the two player co-op mode on Portal 2, which as far as I know is pure puzzle solving.
The stories in Portal are great though, especially Portal 2 which is rich and funny. You could just skip the end of the game and I think that would be pretty non violent? I don’t know if destroying a machine counts as violent.