1. The first American institute of technology was founded on November 5, 1824, in New York City, which is now known as the Rensselaer Polytechnic Institute. This institute was established by Stephen Van Rensselaer IV and Amos Eaton with a vision to bring practical education to the community.

2. The first woman to be elected as a mayor in a major city in the United States was elected on November 5, 1887, in New York. Victoria Woodhull ran for mayor of New York City on a platform of equal rights and social justice, becoming an inspiration to women all over the world.

3. The St. Regis Hotel in New York City was opened on November 5, 1904, and was the first hotel to offer 24-hour room service to its guests. This luxury hotel has since been the host of many important political and social events, including the 1980 Republican National Convention.

4. The first section of the New York City subway, which ran from City Hall to Harlem, was opened on November 5, 1904. This event marked the beginning of modern underground transportation in the city and was celebrated with great enthusiasm by the people of New York.

5. The New York Mets won their first World Series championship on November 5, 1969, defeating the Baltimore Orioles in five games. This victory was seen as a triumph of the underdogs, as the Mets were considered a second-rate team before the season began. The team's achievement sparked a wave of enthusiasm among New Yorkers, who celebrated with a ticker-tape parade through the streets of Manhattan.