Some of our favorites have been Uno, Skipbo, Go Fish, Monopoly Junior, Sorry, Crazy Eights or Memory Match. We have also played Life, Star Wars Life, Pit, and Where in the World is Carmen San Diego? We just got 3 new ones that Ryland really likes-- Fruit Ninja card game, Farkle (dice game) and a Where's Waldo board game (none of these really require much reading). The one we're playing the most right now is Dutch Blitz and it's fast and fierce and fun!
When the older kid were much younger, I was often frustrated when Family Game Night didn't turn out like I planned-- because of fighting or cheating, or age differences, or even agreeing on a game. It's nice that now everyone's able to participate and have it actually be fun for all of us.