We are rather fond of Flux. There is also phase 10, 5 Crowns and a bunch of other card games. I think there is a really good game store in Manhattan, If you go there and tell them what games you have liked they will probably be able to steer you to other games.
My 3 year old has become a jigsaw puzzle machine. Last week I think we did the solar system puzzle 5 times!
My wife and step daughters also love Settlers of Catan.