Armando Benitez- 43 (2001)
Armando Benitez- 41 (2000)
Billy Wagner- 40 (2006)
John Franco- 38 (1998)
John Franco- 36 (1997)
Francisco Rodriguez- 35 (2009)
Billy Wagner- 34 (2007)
Armando Benitez- 33 (2002)
John Franco- 33 (1990)
Jesse Orosco-31 (1984)
Through the 2008 season, that is Trevor Hoffman with 554.
Trevor Hoffman
Through the 2007 season, Trevor Hoffman of the San Diego Padres is the MLB all time saves leader with 524.
Kent Tekulve Mike Williams holds the Pirates team record for saves with 46 in 2002. Elroy Face holds the Pirates career save record with 188. Tekulve had 158 saves during his career with the Pirates.
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.
Rafael Soriano with 45 saves for the 2010 Rays.
Armando Benitez holds the record for most saves in a singles season by a New York Met with 41, in 2001.
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.
Susan Dunmire
John Franco holds the record for career saves as a New York Met with 276.
I couldn't find a rookie Marlins that played for the Phillies that has the record for most saves as a rookie. However, Dontrelle Willis in his rookie season had 14 wins, a Marlins team record for a rookie. He is currently on the Phillies.