In what year did the two teams from New York play in the world series against each other?

In 2000 World Series, the American League Champions Yankees faced the National League Champion Mets in th World Series. It was the first time the two teams met in the World Series.

There have been previous series Where the New York Giants or the Brooklyn Dodgers faced the New York Yankees in the World Series, but it has now happened in over 50 years because both National League Franchises has since relocated.