Try Spot It, Set, or Can't Stop (the first two require speed, so you may need to handicap yourself). Oh, and Lanterns (a recently published game from Foxtrot Games that I've been seeing on a lot of shelves lately) would probably go over well. And Hive is kind of chess-like, but games are substantially shorter.

For the older end of the range, my kids (7 and 11) both enjoy Prime Climb, although we have to help the 7-year-old a little with figuring out his options each turn.