The MLB record for saves in a season is 62 by Francisco Rodriguez of the Los Angeles Angels Of Anaheim in 2008.
The single season saves record in MLB is 57 (Bobby Thigpen) UPDATE: As of 9/18/08, Rodriguez has broken the MLB single season saves record with 59.
Rafael Soriano with 45 saves for the 2010 Rays.
Through the 2008 season, that is Dan Plesac with 133 saves in his career as a Brewer.
Through the 2008 season, that is Trevor Hoffman with 554.
Armando Benitez
Through the 2008 season, that is Ken Sanders of the 1971 Brewers who pitched in 83 games. He led the American League in saves that year with 31.
Through the 2010 season, 40 by Neftali Feliz of the 2010 Texas Rangers. Through 125 games of the 2011 season, Craig Kimbrel of the Atlanta Braves has 37 saves and, barring injury or complete collapse by the Braves, should break the record.
Susan Dunmire
On the last day of the 2010 season, Giants closer Brian Wilson tied the late Rod Beck's team record of 48 saves. Wilson was the 2010 major-league leader in saves.
As of 9/19/2011: Mariano Rivera is the all-time saves leaders with 602. The single season record for saves is 62, held by Francisco Rodriguez.
Through the 2007 season, Trevor Hoffman of the San Diego Padres is the MLB all time saves leader with 524.