FAV GAME

I'm really going to have to go with Dynasty Warriors on this one.

Board Games: Battle Ship, Connect Four, Mouse Trap, Sorry, Checkers, Monopoly

Computer Games-Doom, Age of Empires, Pac-Man, Duke Nukem,

Other Video game consoles-Castlevania, Metal Gear Solid, Vector Man, All Mario Brothers, Zelda, Tenchu Series, Medieval, Mortal Kombat, Ninja Turtles, and a whole bunch of others.
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Battleship, IMO, is OK, especially for children (the ability to play it with paper and pen in a car should not be overlooked), but it is more an exercise in arithmetic probability than anything else.

Bismarck and Prinz Eugen vs Prince of Wales and Hood - talk about heavy metal

As far as board games go I am a Monopoly FANATIC!!!! 

Truly a cut-throat game as played among us in my formative years. 

Video Games:
Final Fantasy IV
Link to the Past
Fallout
Sins of a Solar Empire
Mass Effect
Dawn of War
I guess WoW should go up here

Non-electronic gaming mediums:
Risk
Chess
Warmachine/Hordes
WH40K
Dark Heresy (Cthulu in space ftw!)