| Rank | Team | Baserunner Advances | Record |
| 1. | Washington Nationals, 2010 | 63 | 57-105 |
| 2. | Milwaukee Braves, 1963 | 66 | 63-99 |
| 3. | Detroit Tigers, 1952 | 67 | 63-91 |
| 4. | Toronto Blue Jays, 2011 | 67 | 67-95 |
| 5. | Toronto Blue Jays, 2012 | 67 | 52-110 |
| 6. | Minnesota Twins, 1963 | 69 | 81-81 |
| 7. | Boston Red Sox, 1954 | 71 | 64-90 |
| 8. | Toronto Blue Jays, 2010 | 71 | 53-109 |
| 9. | Philadelphia A's, 1946 | 73 | 48-106 |
| 10. | St. Louis Browns, 1952 | 73 | 64-90 |
| 11. | Oakland A's, 2007 | 73 | 67-95 |
| 12. | Washington Senators, 1959 | 74 | 57-97 |
| 13. | Kansas City A's, 1963 | 75 | 59-103 |
| 14. | Milwaukee Braves, 1964 | 76 | 80-82 |
| 15. | Kansas City A's, 1955 | 77 | 68-86 |
| 16. | Washington Senators, 1957 | 78 | 55-99 |
| 17. | Detroit Tigers, 1953 | 79 | 64-90 |
| 18. | Kansas City A's, 1957 | 79 | 59-95 |
| 19. | Kansas City A's, 1960 | 79 | 69-85 |
| 20. | New York Mets, 1963 | 79 | 54-108 |
| 21. | St. Louis Cardinals, 2000 | 80 | 61-101 |
| 22. | Oakland A's, 2013 | 80 | 85-77 |
| 23. | St. Louis Browns, 1953 | 81 | 56-98 |
| 24. | Kansas City A's, 1964 | 81 | 72-90 |
| 25. | Boston Braves, 1952 | 82 | 63-91 |
| 26. | Baltimore Orioles, 1958 | 84 | 75-79 |
| 27. | Texas Rangers, 2009 | 84 | 85-77 |
| 28. | Boston Red Sox, 1992 | 85 | 74-88 |
| 29. | Miami Marlins, 2012 | 85 | 52-110 |
| 30. | Philadelphia A's, 1945 | 86 | 57-97 |
| 31. | Washington Nationals, 2008 | 87 | 48-114 |
| 32. | Seattle Mariners, 2011 | 87 | 42-120 |
| 33. | San Francisco Giants, 1965 | 88 | 91-71 |
| 34. | Oakland A's, 1993 | 89 | 60-102 |
| 35. | Chicago White Sox, 2012 | 89 | 75-87 |
| 36. | Philadelphia A's, 1943 | 90 | 51-103 |
| 37. | Baltimore Orioles, 1959 | 90 | 52-102 |
| 38. | Chicago White Sox, 2013 | 90 | 76-86 |
| 39. | St. Louis Cardinals, 1998 | 91 | 68-94 |
| 40. | Baltimore Orioles, 1955 | 92 | 74-80 |
| 41. | Kansas City A's, 1958 | 92 | 71-83 |
| 42. | Pittsburgh Pirates, 1996 | 92 | 63-99 |
| 43. | Chicago Cubs, 2013 | 92 | 69-93 |
| 44. | Oakland A's, 1996 | 93 | 77-85 |
| 45. | Toronto Blue Jays, 2009 | 93 | 48-114 |
| 46. | Seattle Mariners, 2012 | 93 | 63-99 |
| 47. | New York Mets, 1965 | 94 | 60-102 |
| 48. | Texas Rangers, 2006 | 94 | 70-92 |
| 49. | Minnesota Twins, 2013 | 94 | 52-110 |
| 50. | Baltimore Orioles, 1957 | 95 | 67-87 |