All facts are from http://www.canadianbaseballnews.com/.
May 29, 1951: Willie Mays suspends his baseball career for 3 years and enters the U.S. Army.
May 29, 1962: Buck O’Neil becomes the first African American coach in the Major Leagues for the Chicago Cubs.
May 30, 1935: The Boston Braves’ Babe Ruth plays his last game in the major leagues.
May 30, 1982: Cal Ripken, Jr. begins his streak of consecutive games played when he replaces Floyd Rayford in the Orioles’ lineup.
May 31, 1977: Joe Torre becomes a player-manager for the New York Mets.
June 1, 1869: The first game ever played by a team with all paid players is played by the Cincinnati Red Stockings who beat the Mansfield Independents by a score of 48-14.
June 1, 1925: Lou Gehrig begins his streak of 2,130 consecutive games played.
June 2, 1869: Professional baseball began in Cleveland with the Cleveland Forest Citys playing the Cincinnati Red Stockings.
June 3, 1989: The longest game in both L.A. Dodgers and Houston Astros’ history was played in 22 innings at the Astrodome.
June 4, 1976: Dave Kingman gets 8 RBIs for the New York Mets against the L.A. Dodgers.