Walking sims also rarely feature you, the player character, committing acts of violence, although - again - they often they take place in an environment where violence is a backdrop. I think this happens in a lot of games, because violence is an easy way of creating drama. However, I generally prefer these games that feature a violent backdrop to games where you are actually doing the violence, because they tend to address it in a way that better reflects how we deal with trauma in real life.
Some suggestions: Deponia series, Dreamfall series, Life is Strange series, Edna and Harvey series, The Inner World series, Nelly Cootalot series, Space Pilgrim series, Blackwell series, The Journey Down, Anna's Quest, Jenny LeClue, Sumatra: Fate of Yandi, Milkmaid of the Milky Way, Firewatch, Tacoma, Draugen, Everybody's Gone to the Rapture... There are tons of games like this. Some of these might have a death or two along the way that you might click into or through, but none of them felt like gratuitously violent games per se, at least nothing close to shooters and RPGs.