Craft worked the 1997 Major League Baseball All-Star Game, the 2003 American League Championship Series, and two Division Series (1998 and 2000). He umpired in two MLB no-hitters. In 1990, he was on the field when Dave Stewart threw a no-hitter against the Toronto Blue Jays. In 1993, Jim Abbott did the same against the Cleveland Indians. He was also the home plate umpire when Rickey Henderson broke Ty Cobb's American League stolen base record.