can i suggest amanita design games, like all of it. they make amazing games which can be played and enjoyed by any age group. so far we have played machinarium, chuchel, samorost 3 and creaks. they're all greaat.
i know they're not online multiplayer games but any kid will love their games.
i'm not trying to convert her, it's just that i'm comfortable in doing this, it feels natural to me.