for me, what dictates whether I become addicted to a game is usually taking an idea in a gaming that is relatively new, and make it wildly successful. So to me, a lot of the classics were rediculously addictive:
civ [all of them], doom [to a lessor extent duke nukem 3d, unreal, unreal tournament, and quake, and the original rainbow 6], tetris, bust a move [had to list this one by itself because it comprised most of my life from the age of 13->16], dune 2, warcraft 2, command and conquer, c & c red alert, mortal kombat 1-3, street fighter 2, killer instinct, nba jam, mario bros 1->mario world, grand theft auto [all of them] and diablo.
heh, as a gamer, I was all over the map.