5. Billy Wagner

422 saves gave "Billy the Kid" the fifth place in history.

 He pitched for the Houston Astros (1995–2003), the Philadelphia Phillies (2004–2005), the New York Mets (2006–2009), the Boston Red Sox (2009), and the Atlanta Braves (2010). 

Wagner is one of the few MLB pitchers to have fans at every team he played. 

New York Yankees
Atlanta Braves
MLB American League
Oakland Athletics
New York Yankees
MLB National League