let's start with Scorched Earth (great old school game), its called Worms today
family fun: Typing of the Dead, The Sims
shooters: Delta Froce Land Warrior - great for all skills and multiplayer online, Voyager Elite Force (7of9)
strat: Warcraft, Starcraft - a little complex at first, Star Trek Armada
of course these are my opinion
Max Payne is a good one too.