On May 14th, 1968, Don Drysdale and the Dodgers beat the Chicago Cubs 1-0. Drysdale went all 9 innings, allowing only two hits, while striking out seven. The shutout would be the first of six consecutive that Don threw, setting a Major League record. Drysdale would also wind up setting the Major League record for most consecutive innings thrown without allowing a run, at 58 innings.
His consecutive innings record would stand until 1988, when another Dodger, Orel Hershiser, broke it by throwing 59 consecutive scoreless innings. Don still holds the record for most consecutive shutouts thrown, and judging by the way starters are watched, and bullpens are used, his record appears to be as impossible to break as Dimaggio’s 56 game hit streak or Cy Young’s 511 career wins.