My first thought was Minecraft. I‘m not sure if it‘s playable offline still but a google search makes me believe so.
It runs on basically anything, and if the kids in question are still super young, there should be a peaceful/creative mode without monsters to scare them or survival mechanics to worry about, making it essentially just more complex LEGO.
What online multiplayer games play well over wifi/higher latency?
I'm thinking turn-based games may work okay in this respect, but which of those might you recommend besides Civ? Also what other types of games work better over wifi/higher latency than you might expect?
I know ideally you'd simply wire up your system to not have to fuss with either, but it's not always an option in some circumstances.