1. On September 30, 1776, General George Washington and his army were forced to retreat from New York City after being defeated by the British in the Battle of Brooklyn. This would mark the beginning of a series of losses for the American Revolutionaries in New York.

2. In 1839, the world-famous composer Johannes Brahms was born in Hamburg, Germany. Brahms would later perform at venues all over New York City and was known for his contributions to the classical music scene in the area.

3. On this day in 1903, the first ever World Series of baseball began between the Boston Americans and the Pittsburgh Pirates. This would mark the start of an annual tradition that would continue to be held in New York City until it moved to other cities in the 1970s.

4. In 1955, the classic American film "Rebel Without A Cause" had its world premiere in New York City. The film starred James Dean in his iconic role as a troubled teenager and was acclaimed for its gritty portrayal of youth culture.

5. Finally, on September 30, 1985, the New York Stock Exchange experienced one of its largest drops in history, with the Dow Jones Industrial Average falling over 100 points in a single day. This event would become known as "Black Monday" and would have far-reaching impacts on the financial world for years to come.