Based on the Chinese calendar what is the zodiac animal for February 1964?

A Chinese year does not exactly coincide with a Gregorian year. The first day of a Chinese New Year's date varies. It was the 13th of February in 1964. Up to the 12th of February, it was the year of the Rabbit. From the 13th of February for the rest of 1964, and into early 1965, it was the year of the Dragon.