Spanning Multiple Seasons or entire Careers, From 1901 to 2009, Active Players, (requiring RBI≥1000), sorted by greatest RBI

  Cnt Player             RBI From  To   Ages
 ----+-----------------+----+----+----+----- 
    1 Ken Griffey       1818 1989 2009 19-39 
    2 Manny Ramirez     1784 1993 2009 21-37 
    3 Alex Rodriguez    1691 1994 2009 18-33 
    4 Gary Sheffield    1676 1988 2009 19-40 
    5 Jim Thome         1562 1991 2009 20-38 
    6 Carlos Delgado    1512 1993 2009 21-37 
    7 Luis Gonzalez     1439 1990 2008 22-40 
    8 Chipper Jones     1438 1993 2009 21-37 
    9 Garret Anderson   1346 1994 2009 22-37 
   10 Jason Giambi      1325 1995 2009 24-38 
   11 Vladimir Guerrero 1313 1996 2009 21-34 
   12 Moises Alou       1287 1990 2008 23-41 
   13 Ivan Rodriguez    1262 1991 2009 19-37 
   14 Todd Helton       1194 1997 2009 23-35 
   15 Bobby Abreu       1180 1996 2009 22-35 
   16 Jim Edmonds       1176 1993 2008 23-38 
   17 Miguel Tejada     1175 1997 2009 23-35 
   18 Andruw Jones      1173 1996 2009 19-32 
   19 Magglio Ordonez   1135 1997 2009 23-35 
   20 Scott Rolen       1119 1996 2009 21-34 
   21 Albert Pujols     1104 2001 2009 21-29 
   22 Carlos Lee        1097 1999 2009 23-33 
   23 Brian Giles       1078 1995 2009 24-38 
   24 Derek Jeter       1066 1995 2009 21-35 
   25 Jermaine Dye      1063 1996 2009 22-35 
 ----+-----------------+----+----+----+----- 
  Cnt Player             RBI From  To   Ages
 ----+-----------------+----+----+----+----- 
   26 David Ortiz       1052 1997 2009 21-33 
   27 Paul Konerko      1040 1997 2009 21-33 
   28 Lance Berkman     1034 1999 2009 23-33 
   29 Carlos Beltran    1031 1998 2009 21-32 

Seasons/Careers found: 29.

 Photos from the George Grantham Bain Collection at the Library of Congress.