Hank Aaron, Alex Rodriguez and Lou Gehrig hold the record with 13 consecutive 100+ run season. Aaron from 1955-1967, Rodriguez from1996-2008 (his streak ended in 2009 w/78 runs scored), Gehrig from 1926-1938.
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8 consecutive seasons: Willie Keeler and Ichiro Suzuki (still counting) 8 consecutive seasons: Willie Keeler and Ichiro Suzuki (still counting)
Albert Pujols
Only Hank Aaron.
Of the top 8 single season leading runs scorers, only two of them ocurred after 1900. In 1921, Babe Ruth scored 177 runs (which is tied for 2nd all time behind Billy Hamilton's 192) and Lou Gehrig scored 167 runs in 1936. For seasons played after 1950, Jeff Bagwell has scored the most runs in a season with 152 in 2000.
12
At the start of the 2008 season, the Rays team record for most runs scored in a game is 19 against the Yankees in 2006 and the Blue Jays in 2004. The Rays record for most runs scored in an inning is 11 against the Mariners in 2000.