I assume that you mean series wins. The Yankees won five consecutive series from 1949 through 1953. They also are the only franchise to win 4 consecutive World Series championships, a feat they accomplished between 1936 and 1939. If you mean games, I think (but did not check) that it is also the Yankees. They won 14 games in a row over four world series. In 1996, they lost the first two games to the Braves and then won four straight. In their next two appearances (1998 and 1999) they swept the Padres and the Braves. In 2000 they won the first two games before losing game 3 to the Mets.
I gathered all the information here from www.Baseball-reference.com, a wonderful site for questions like this.
760
The Giants with 20.
None of the players that played in the '95 Major League Baseball World Series regardless of being from the National League Champion; Atlanta Braves or the Cleveland Indians are currently playing with any of the Major League Baseball teams in 2014.
57
The World Series in baseball is the best team in the American League, playing the best team in the National League for the Major League Championship.
The record for the most consecutive games with a home run by a team in Major League Baseball history is 27 games, achieved by the 2019 New York Yankees.
League Championships then the World Series
its the championship between the national league and American league champions
The NFL
The lowest seed to win the World Series in Major League Baseball history is the 2003 Florida Marlins, who won as the wild card team.
How else will you determine the champion of Major League Baseball? There have been many things tried, but the World Series was the best.
None of the players that played in the 1997 Major League Baseball World Series regardless of being from the American League Champion; Cleveland Indians or the National League Champion; Florida Marlins are currently playing in the Major Leagues as of 2014.