A few other fun games to recommend:

1) Jenga
My 3 yr old can play too, and we have a lot of fun playing with our family!

2) Kerplunk
I used to play this game growing up - it brings me a ton of joy to play with my kids.  They really love it.  "You touch it - you take it!"

3) Hoot Owl Hoot
This is a cooperative 4 player game where you are trying to work as a team to get all the owls back to the nest.  It's candy-land but with a little bit of extra strategy.