I have a 4 and 6 year old, and like any good "seasoned" gamer with kids, I try to find stuff for them to play that they will have fun with. Up to this point, they've mostly stuck to only the simplest stuff, flash games on the various kid sites, occasional short sessions of Sonic the Hedgehog, and some longer sessions of Hamster Ball. (Marble Madness, basically.)
So it seems to me their coordination is getting much better, and I'm wondering what are some new games or new game types that might be good to introduce them to? If you have young kids, what did they play, and what was their gaming "progression?"
Should have mentioned my available platforms, eh? PS3, Xbox, and PC. The PC they would play is just a laptop though, so nothing fancy. They do also of course play games on my android phone, but I want to avoid that.