The Yankees and the Dodgers last played in the 1981 World Series, with the Dodgers winning in six games.
If your question relates to the 1963 World Series, there was no game on November 10, 1963 in Yankee Stadium. The 1963 Series won by the Los Angeles Dodgers in a four game sweep over the New York Yankees concluded on October 6 in Los Angeles. Yankee Stadium may have been the site of some event on Nov. 10, 1963, but it wasn't a baseball game.
the name of the dodgers stadium before they moved to la was ebbets stadium their last game there was September 24 1957.
Andy Carey debuted on May 2, 1952, playing for the New York Yankees at Yankee Stadium I; he played his final game on October 2, 1962, playing for the Los Angeles Dodgers at Dodger Stadium.
Al Downing debuted on July 19, 1961, playing for the New York Yankees at Yankee Stadium I; he played his final game on July 13, 1977, playing for the Los Angeles Dodgers at Dodger Stadium.
Jim Lyttle debuted on May 17, 1969, playing for the New York Yankees at Yankee Stadium I; he played his final game on October 3, 1976, playing for the Los Angeles Dodgers at Dodger Stadium.
Pete Mikkelsen debuted on April 17, 1964, playing for the New York Yankees at Yankee Stadium I; he played his final game on September 18, 1972, playing for the Los Angeles Dodgers at Dodger Stadium.
Ellie Rodriguez debuted on May 26, 1968, playing for the New York Yankees at Yankee Stadium I; he played his final game on October 3, 1976, playing for the Los Angeles Dodgers at Dodger Stadium.
Bubba Crosby debuted on May 29, 2003, playing for the Los Angeles Dodgers at Dodger Stadium; he played his final game on August 3, 2006, playing for the New York Yankees at Yankee Stadium II.
Steve Howe debuted on April 11, 1980, playing for the Los Angeles Dodgers at Dodger Stadium; he played his final game on June 21, 1996, playing for the New York Yankees at Yankee Stadium II.
Hiroki Kuroda debuted on April 4, 2008, playing for the Los Angeles Dodgers at Dodger Stadium; he played his final game on September 24, 2013, playing for the New York Yankees at Yankee Stadium III.
Jim Leyritz debuted on June 8, 1990, playing for the New York Yankees at Yankee Stadium II; he played his final game on September 13, 2000, playing for the Los Angeles Dodgers at Dodger Stadium.
Juan Rivera debuted on September 4, 2001, playing for the New York Yankees at Yankee Stadium II; he played his final game on October 3, 2012, playing for the Los Angeles Dodgers at Dodger Stadium.