According to Wikipedia and other sources, on October 5th:
1582 – Because of the implementation of the Gregorian calendar, this day does not exist in this year in Italy, Poland, Portugal and Spain.
1793 – French Revolution: Christianity is disestablished in France.
1905 – Wilbur Wright pilots Wright Flyer III in a flight of 24 miles in 39 minutes, a world record that stood until 1908.
1921 – Baseball: The World Series is broadcast on the radio for the first time.
1947 – The first televised White House address is given by U.S. President Harry S. Truman.
1962 – Dr. No, the first in the James Bond film series, is released.
1969 – The first episode of Monty Python's Flying Circus airs on BBC One.