Depending on how old your kids are, text-based interactive fiction (that is, games in the style of 80s text-based games from Infocom and the like) could be fun and also educational. Thaumistry [1] is a particularly easy commercial game in that genre. When it comes to non-commercial IF, I particularly had fun with Counterfeit Monkey [2], and it has a good story IMO. There may be a little killing in both of these games; I don't remember for sure. But there certainly isn't copious violence as in an FPS.

[1]: http://www.thaumistry.com/

[2]: https://ifdb.org/viewgame?id=aearuuxv83plclpl