When Richard Fuld, chief executive of Lehman Brothers Holdings Inc., couldn't control his addiction, he took drastic measures. In October, he had the game BrickBreaker taken off his BlackBerry. "I was playing so much," says Mr. Fuld, who had used it to relax on the plane or in the car. He missed it so much he had it reinstalled, but it's no longer on the main menu. That removes the temptation, he says, "for the most part." In this era of startlingly realistic video games, BrickBreaker is straight out of the Stone Age. Yet it has developed a cult following,...