I'm a gamer, so is my wife, I can only assume our daughter will be too once she's old enough to use a mouse & keyboard (or a pad if she prefers...).
my tastes tend toward fps games (COD series recently, doom, quake, unreal tournament BITD) and strategy (battlestar back in my spectrum days, command & conquer series more recently) where my wife prefers the likes of the Sims on pc and animal crossing on Nintendo.
I did get fairly addicted to GTA4 and Gran Turismo 5
on the PS3 for awhile but that machine is mostly used as a bluray player these days.