| Rank | Team | Baserunner Advances | Record |
| 1. | Boston Red Sox, 1940 | 313 | 95-59 |
| 2. | Boston Red Sox, 1935 | 300 | 70-84 |
| 3. | Detroit Tigers, 1937 | 290 | 89-65 |
| 4. | Detroit Tigers, 1936 | 286 | 89-65 |
| 5. | Cincinnati Reds, 1981 | 284 | 100-62 |
| 6. | Chicago White Sox, 1977 | 276 | 102-60 |
| 7. | Detroit Tigers, 1935 | 275 | 94-60 |
| 8. | Kansas City Royals, 1979 | 268 | 89-73 |
| 9. | Kansas City Royals, 1977 | 267 | 111-51 |
| 10. | Texas Rangers, 1977 | 261 | 98-64 |
| 11. | Cincinnati Reds, 1974 | 257 | 100-62 |
| 12. | Boston Braves, 1937 | 256 | 89-65 |
| 13. | Chicago Cubs, 1945 | 256 | 110-44 |
| 14. | Los Angeles Dodgers, 1971 | 254 | 102-60 |
| 15. | Minnesota Twins, 1976 | 252 | 75-87 |
| 16. | Boston Red Sox, 1942 | 251 | 102-52 |
| 17. | Boston Red Sox, 1944 | 251 | 84-70 |
| 18. | Cincinnati Reds, 1977 | 251 | 100-62 |
| 19. | Boston Red Sox, 1939 | 248 | 75-79 |
| 20. | St. Louis Cardinals, 1935 | 247 | 93-61 |
| 21. | New York Yankees, 1972 | 247 | 95-67 |
| 22. | Texas Rangers, 1976 | 247 | 88-74 |
| 23. | Boston Red Sox, 1977 | 247 | 110-52 |
| 24. | Chicago Cubs, 1935 | 246 | 77-77 |
| 25. | St. Louis Browns, 1936 | 246 | 73-81 |
| 26. | Detroit Tigers, 1944 | 245 | 79-75 |
| 27. | Boston Red Sox, 1941 | 243 | 101-53 |
| 28. | Chicago White Sox, 1991 | 243 | 96-66 |
| 29. | Pittsburgh Pirates, 1935 | 241 | 81-73 |
| 30. | St. Louis Cardinals, 1982 | 241 | 86-76 |
| 31. | Chicago White Sox, 1973 | 240 | 89-74 |
| 32. | Montreal Expos, 1977 | 240 | 100-62 |
| 33. | New York Yankees, 1980 | 240 | 105-57 |
| 34. | New York Yankees, 1950 | 239 | 105-49 |
| 35. | Montreal Expos, 1980 | 239 | 118-44 |
| 36. | Chicago White Sox, 1987 | 239 | 102-60 |
| 37. | Chicago White Sox, 1933 | 238 | 96-58 |
| 38. | Detroit Tigers, 1933 | 237 | 75-79 |
| 39. | Seattle Mariners, 1981 | 235 | 94-68 |
| 40. | Chicago White Sox, 1979 | 234 | 97-65 |
| 41. | New York Mets, 1981 | 234 | 81-81 |
| 42. | Detroit Tigers, 1939 | 233 | 81-73 |
| 43. | Washington Senators, 1944 | 233 | 95-59 |
| 44. | Milwaukee Brewers, 1982 | 233 | 83-79 |
| 45. | Montreal Expos, 1982 | 233 | 108-54 |
| 46. | St. Louis Cardinals, 1936 | 232 | 57-97 |
| 47. | New York Yankees, 1974 | 232 | 66-96 |
| 48. | Kansas City Royals, 1980 | 231 | 75-87 |
| 49. | Chicago White Sox, 1936 | 230 | 83-71 |
| 50. | Brooklyn Dodgers, 1942 | 230 | 102-52 |