Here's a list up to May 7, 2006: AMERICAN LEAGUE CAREER RUNS R 1 Ty Cobb 2245 (some sources have 2246) 2 Babe Ruth 2161 3 Rickey Henderson 1939 4 Lou Gehrig 1888 5 Tris Speaker 1882 6 Eddie Collins 1821 7 Carl Yastrzemski 1816 8 Ted Williams 1798 9 Paul Molitor 1782 10 Charlie Gehringer 1774 11 Jimmie Foxx 1696 12 Mickey Mantle 1677 13 Cal Ripken 1647 14 Robin Yount 1632 15 Al Kaline 1622 16 George Brett 1583 17 Reggie Jackson 1551 18 Rafael Palmeiro 1547 19 Sam Rice 1514 20 Wade Boggs 1513 21 Goose Goslin 1483 22 Dwight Evans 1470 23 Al Simmons 1468 24 Harry Hooper 1429 25 Rod Carew 1424 26 Joe DiMaggio 1390 27 Lou Whitaker 1386 28 Doc Cramer 1357 29 Frank Thomas 1339 30 Luis Aparicio 1335 31 Luke Appling 1319 32 Bernie Williams 1313 33 Harold Baines 1299 34 Harmon Killebrew 1283 35 Donie Bush 1280 36 Carlton Fisk 1276 37 Tony Phillips 1275 38 Alex Rodriguez 1271 39 Eddie Murray 1255 40 Jim Rice 1249 41 Bob Johnson 1239 T42 Don Baylor 1236 T42 Joe Kuhel 1236 44 Brooks Robinson 1232 T45 Alan Trammell 1231 T45 Nellie Fox 1231 T47 Earl Averill 1222 T47 Joe Cronin 1222 T49 Edgar Martinez 1219 T49 Heinie Manush 1219 51 Eddie Yost 1215 52 Harry Heilmann 1209 53 Manny Ramirez 1198 T54 Mickey Vernon 1188 T54 Brian Downing 1188 T56 Earle Combs 1186 T56 Jose Canseco 1186 58 Derek Jeter 1183 59 Bert Campaneris 1181 60 Joe Judge 1177 T61 Buddy Myer 1174 T61 Yogi Berra 1174 63 Lu Blue 1151 T64 Joe Sewell 1141 T64 Roberto Alomar 1141 66 Willie Wilson 1136 67 Chuck Knoblauch 1132 68 Omar Vizquel 1129 69 Ben Chapman 1126 70 Willie Randolph 1124 71 Minnie Minoso 1122 T72 Sam Crawford 1115 T72 Toby Harrah 1115 74 Wally Moses 1114 75 Jimmy Dykes 1108 T76 Johnny Damon 1101 T76 Julio Franco 1101 78 Bobby Doerr 1094 79 George Sisler 1092 80 Nap Lajoie 1083 81 Ruben Sierra 1076 82 Amos Otis 1074 83 Kirby Puckett 1071 T84 Harlond Clift 1070 T84 Dave Winfield 1070 T84 Kenny Lofton 1070 T84 Joe Carter 1070 88 Ken Griffey Jr. 1063 T89 Charlie Jamieson 1062 T89 Brady Anderson 1062 91 Juan Gonzalez 1061 T92 Norm Cash 1046 T92 Dom DiMaggio 1046 94 Fred Lynn 1045 95 Mickey Cochrane 1041 96 Bobby Grich 1033 97 Graig Nettles 1014 98 Cecil Cooper 1012 99 Ivan Rodriguez 1011 T100 Carney Lansford 1007 T100 Don Mattingly 1007 T102 Roger Peckinpaugh 1006 T102 Frankie Crosetti 1006 104 Clyde Milan 1004 105 Vern Stephens 1001 106 Sal Bando 982 107 Hank Greenberg 980 108 B.J. Surhoff 976 109 Albert Belle 974 110 Chet Lemon 973 111 Max Bishop 966