The Settlers of Catan, Baby's Travel Games:
Settlers of Catan is an absolutely fantastic family strategy game
*There is enough strategy for most gamers

*There is some luck which can make things interesting. If you want to
minimize the luck factor then use 12-sided dice

*Great interaction as you get to trade and barter with other players
(even when it is not your turn.) Kids can definitely learn the concept
of re-investing in your assets and great negotiation skills.

*You can change the boardgame set up everytime so you get a different
game everytime.

*There are 2 expansions (seafarers & Cities & Knights) & other add-ons to
change up the game to continue to make the game new and interesting.

*There are extensions that expand the game to 6 players.

*Also, there are ways to "gang up" on the leader, so there are many games
where virtualy every player will be close to winning which makes it more
fun than when one player blows out everyone every game.
The Settlers of Catan from Mayfair Games is an award-winning strategy game where players collect resources and use them to build roads, settlements and cities on their way to victory. The board itself is variable, making each game a little different from the next. Each round of The Settlers of Catan is intended to keep three or four players ages 10 and above engaged for up to 90 minutes.