Board games:
Puerto Rico
Settlers of Catan
Diplomacy
Video Games:
Halo 3
Call of Duty: World at War 2
Settlers of Cattan ruins lives
settlers of catan is go-fish with dice.
Settlers is also a fairly easy game to both play and learn. I wouldn't suggest that a new board gamer start out with something like Twilight Imperium or Descent.
And the Go-Fish with dice is Monopoly.
For suggestions, I've been playing through Scribblenauts. You have to love a puzzle game where everything is solvable by by some application of soda, a rocket launcher, some rope, a potted plant, Samuel L Jackson, and Cthulhu.
