In the 2002 World Series, both the Angels and the Giants made the playoffs as wild card teams.
No. They cannot play each other in the World Series as both teams are in the National League.
My crystal ball says the 2102 World Series will be the Chicago Cubs versus the Cleveland Indians. Remarkably however, somehow both teams will lose! :D
The 1995 World Series saw the Atlanta Braves take on the Cleveland Indians.
Once ... in 2002 when the Angels defeated the Giants.
The world series
The New York Yankees won 27 World Series titles most by a team in both the American, and National League.
Both teams play in New York City and they have both won the World Series.
The Forida Marlins apeared in two World Series in total, and won both.
The late Frank Crosetti, who played for the New York Yankees from 1932 to 1948, also served as third-base coach for the team from 1947 to 1968. As a result, he was involved with 23 World Series teams and 17 world championships from 1932 to 1964.