World of Warcraft obviously. It is unequivocally Blizzard most successful game and imho only good game.
World of Warcraft, But in reality every game Blizzard have made is successful.
there most succesfull game making money wise, would be WoW.
most succesfull game by being awesome: starcraft or diablo, i can't say for sure which is better, warcraft comes very close behind both of them though.
Overall? I'd say WoW. I don't know all the numbers involved, but I'd be surprised if any other Blizzard game has made them anywhere near the amount of money WoW has.
StarCraft has been pretty successful for the type of game it is. I'm not sure if any RTS game has come anywhere close to Starcraft in terms of popularity.