I recently picked up Settlers of Catan - The Dice Game on the cheap from my local game store.  The guy behind the counter said it was pretty fun to play with so I went with it.

Basically, you have six dice with six different resources.  Your object is to move around a set map of your territory by building roads, cities, towns and knights via different combinations of dice.  There is an additional version you can play competitively which is more Catan-like.

The strategy is not too terribly deep and I find that after I played it a few times, you know which items to build first and then it's a lucky die roll to get a large city (30 points) to elevate your scores.

From a family standpoint, however, it is an extremely light game.  Again, my 6-year-old loves it and the wife picked it up pretty quick and played it a couple times.  The last week or so it has fallen off the charts a little bit.  Personally, I'd rather play some other games, but its good for a quick 15 minutes to kill virtually anywhere.