TheVille

This looks potentially very good.
http://store.steampowered.com/app/376870/

Unfortunately, not multiplayer, but still...

I just saw that yesterday and am wondering if it would be any good to play with the little one.

Does anybody have any experience with these "Story Mode" games before that they can share?

It's made by Telltale, who have a pretty good track record for story-driven games. If it's anything like their other games, don't expect much "gameplay", just some decision that might have consequences later and different dialogue options. Telltale have mostly made more mature games, but this one seems to be more "family-friendly", given the way they are marketing it and the E10 rating.

Thanks NKing. So is it more just watching a movie and making some decisions from time to time? It doesn't sound like you can typically take control of the character and go wandering around as much right?

I think it looks pretty neat. Telltale has done some neat things. I have it wishlisted, and may pick it up if it goes on sale in the future or something.