Bryan Anthony Shaw (born November 8, 1987) is an American professional baseball pitcher for the Colorado Rockies of Major League Baseball (MLB). He was drafted by the Arizona Diamondbacks in the second round of the 2008 Major League Baseball Draft and has also played for the Cleveland Indians.
Shaw was born to Richard, a member of the California Highway Patrol, and Michelle Shaw. He attended Livermore High School in Livermore, California where he played baseball, football and basketball. 
Shaw was selected in the second round of the 2008 Major League Baseball draft by the Arizona Diamondbacks.  He was called up by Arizona on June 10, 2011.  Shaw made his major league debut that day, coming in for Esmerling Vásquez after he gave up a leadoff double. Shaw pitched one scoreless inning against the Florida Marlins, giving up two walks and one strikeout, coming against Scott Cousins. 
He was traded to the Cleveland Indians on December 11, 2012 as part of a three-team deal involving Trevor Bauer and Shin-Soo Choo.  Shaw and his wife, Kristen, had bought a house in Arizona the day before the trade. 
Shaw had a good 2014 season. In 80 games and 76.1 innings, he finished 5-5 with a 2.59 ERA, 64 strikeouts, and 2 saves. He appeared in more games than any other pitcher that year.
In 2016, Shaw led the American League in games pitched again, with 75. He went 2-5 with a 3.24 ERA and helped Cleveland win the pennant. He gave up the game-winning run in the 2016 World Series in extra innings.