This episodes "bat-fight" featured only Batman & Shame, and was probably the only time that no stuntmen were used. Adam West & Cliff Robertson filmed the whole sequence.
The New York World's Fair had taken place in 1964 and was the location idea for the hostage swap. But the "Central American" pavilion looks more like a Hollywood prop department's idea of Olvera Street in Los Angeles.
Shame's idea of sartorial splendor is likely a poke at the wild fashions of the day
The skywriting message scene, which the viewers never completely see, refers to the TV and radio series about fellow super hero Superman, as well as the famous movie western "High Noon."
The Great Train Robbery is the title of a famed 1903 train robbery film. Later films have used the title as well.