This is the first time Batman and Robin fight the bad guys in The Batcave.
The rare art map that Commissioner Gordon and Chief O'Hara are looking at is a map of New York City.
In DC Comics, the Sandman was a hero during World WarII from Gotham City, not a villain
During his final conversation with Catwoman, Batman's cape is covering the right side of his chest when shot from the front. When the camera cuts to side shots, the cape is thrown over his right shoulder.
Chad & Jeremy perform Distant Shores and Teen-Age Failure.
When the henchman gives Catwoman the phone, he gives it to her upside down. In the next shot after a cutaway, she's holding it correctly.
When Shame faces off against Batman and Robin in the final battle, in the first long shots the porch supports behind him are to either side of his head. In the closeups, one of the supports is directly behind him.
The scene with the little old lady buying a hot rod from Laughing Leo is a reference to the song "The Little Old Lady From Pasadena". The little old lady says "I came all the way from Pasadena to buy this car!", and was portrayed by Kathryn Minner, the same woman portraying the famous "little old lady" on the Jan and Dean album of the same name.
Werner Klemperer appears as Colonel Wilheim Klink in the window cameo. Not only did his series appear on another network but it was set during World War II. Yet Robin sends a word of hello to Colonel Hogan.
It is revealed that Commissioner Gordon and Chief O'Hara are both married while Alfred had never taken the plunge.
Notice as Bruce, Dick and Alfred watch an episode of The Green Hornet prior to it being interrupted by The Joker's televised ultimatum. This would seem to establish that the vigilante is a fictional TV character... but The Caped Crusaders will later battle Green Hornet and Kato in "A Piece of the Action."
During the press conference, Robin is standing just behind Batman in the long shots. In the medium shots, he is standing in front of Batman, although only visible from the chest up.
When Bruce and Dick slide down the Batpoles at the beginning, for the first and only time in the series, the signs saying "Batman" and "Robin" are missing.
In this episode, Mayor Linseed's wife is named Linda yet her name is Millie in Nora Clavicle and the Ladies' Crime Club.
Batman says he isn't sure that the goons that attacked the convention hall are working with Penguin, and wonders how Penguin defeated them. However, the goons are wearing the same black shirts with GOON printed on them that the Grand Order of Occidental Nighthawks wore in the previous episode when they lured Batman into a trap, and then met with Penguin.