The Bird's Last Jest (2) - S2-E28
Visible crew/equipment: At the abandoned Navy rec center, when Penguin and his miscreants are out of bullets they surrender, and as they all gather with their hands up, there are a few chalk T-marks visible on the ground where they stand. (00:05:25)
The Bird's Last Jest (2) - S2-E28
Continuity mistake: When the Dynamic Duo goes up the Bat Pole chute, the NEGATE COSTUME CHANGE lever is down. When they come down as Dick and Bruce, the lever is up, and Robin pulls it down to stop the instant change back to Dick and Bruce.
Continuity mistake: During the fight, the desk mat and desk calendar are moved initially and then moved again later in the fight. (00:19:03 - 00:22:00)
The Bat's Kow Tow (2) - S2-E30
Factual error: Batman ingeniously deduces that the sympathetic vibration needed to escape Catwoman's sound-trap is the note F-sharp above high-C. What he proceeds to hum, however, is a D, and Robin hums an E. Neither of them reaches F-sharp, but the sound chamber dutifully explodes and frees them anyway. (00:02:30)
The Bat's Kow Tow (2) - S2-E30
Visible crew/equipment: While Allan Stevens interviews Batman and Robin they have surprise visitors, and as Catwoman and her Kittens take their places pointing the weapons at the audience, the black tape mark is visible on the floor at Catwoman's feet. (00:06:45)
The Bat's Kow Tow (2) - S2-E30
Continuity mistake: When Catwoman tries to tempt Batman into a kiss at the end, his cape is draped completely over the right half of his chest. Each time the angle reverses, though, it's pulled back over his shoulder in its usual position. (00:21:15)
The Puzzles Are Coming (1) - S2-E31
Revealing mistake: While The Puzzler and his baddies are at Artemus Knab's penthouse, across the street from Commissioner Gordon's office, when Puzzler decides he will launch the plane himself, the wire attached to the top of the plane is visible. (00:01:15)
The Puzzles Are Coming (1) - S2-E31
Continuity mistake: In the Batcave, Batman is holding Puzzler's pink balloon while he and Robin deduce its clues. The shot cuts to a wider angle when they turn to race to the Batmobile, and the balloon disappears. (00:12:50)
The Puzzles Are Coming (1) - S2-E31
Visible crew/equipment: At the Knab Aircraft hangar Puzzler arrives in the truck just as Knab is leaving, and when Puzzler walks to the back of the truck the reflection of the boom mic is visible on the right back door windows. (00:14:45)
The Puzzles Are Coming (1) - S2-E31
Revealing mistake: At the old balloon factory, when Puzzler throws the model airplane with a poison tip at Batman, on his upper arm we can see the protruding outline of the rectangular base to which the small airplane is attached. (00:22:00)
The Duo Is Slumming (2) - S2-E32
Visible crew/equipment: When Puzzler and his high-flying flunkies exit the shed it cuts to the Retsoor in Knab's hangar, and a few chalk T-marks become visible on the ground near the nose of the plane. (00:19:40)
The Duo Is Slumming (2) - S2-E32
Other mistake: While Batman and Robin are ascending in the balloon, Robin picks up a chewed piece of gum, and stops the altimeter just before 20,000 feet. After that, Robin wondered how to get down. Beside Batman's head is the handle of the cord that would have started to let the air out, and started dropping them down.
The Sandman Cometh (1) - S2-E33
Continuity mistake: As the batfight ends and one of Sandman's henchmen hits Batman with a bolt of cloth, he goes down and is buried with mattresses on the right side. But when they remove the mattresses to wake him up, he is facing forward.
The Sandman Cometh (1) - S2-E33
Continuity mistake: When Dick and Bruce go "to the bat poles" Dick is on the left side and Bruce on the right. When they get to the bottom, they have switched poles. Dick is on the right and Bruce is on the left.
The Catwoman Goeth (2) (a.k.a. A Stitch in Time) - S2-E34
Visible crew/equipment: When Alfred and Batman take off from the Batcave on the Alf-cycle (a nod to Batman's quick head-dip), it cuts to the exterior scene at the Run Down Factory. When the GCPD patrol car pulls up, in their closeup the movement of a crew member's reflection is visible on the triangle vent mirror, at the bottom left side of the screen. (00:10:30)
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The Catwoman Goeth (2) (a.k.a. A Stitch in Time) - S2-E34
Visible crew/equipment: Outside the run down factory, when the GC police officers step out of their patrol car and walk over to the Batmobile, just as senior Officer Dietrich begins giving the rookie officer the what for, the reflection of the boom mic is visible on the Batmobile's left bubble windshield, at the left side of the screen. (00:10:50)
The Catwoman Goeth (2) (a.k.a. A Stitch in Time) - S2-E34
Visible crew/equipment: While Batman stands outside the run down factory, the GC rookie officer asks, "Who's Robin?" and both GC officers get back into their patrol car. Then as they drive away the reflection of equipment (looks like the boom pole) becomes visible on the vehicle's rear passenger window. Then it cuts to Batman, and the reflection of the boom pole is visible on the Batmobile's windshield, at the bottom right corner of the screen. (00:12:25)
The Contaminated Cowl (1) - S2-E35
Visible crew/equipment: When Mad Hatter has Batman's pink cowl he enjoys his short sweet victory. In the next shot the Dynamic Duo walk in, and at the end of this shot the actor's chalk mark is visible on the floor at Mad Hatter's feet. Then as the goons nab Robin and Batman, more chalk T-marks are visible on the floor. (00:22:45)
The Contaminated Cowl (1) - S2-E35
Continuity mistake: After the Mad Hatter's spray turns Batman's cowl pink, Batman and Robin are shown in the Batmobile, headed back to the Batcave. The stock shot shows Batman wearing his regular blue cowl while inside the car. Once they get to the Batcave, Batman's cowl is pink again.
Answer: It's wasn't unusual for multiple actors to play one character on this show. The villains on the TV Batman were played by guest stars, not regular cast members. George Sanders, Otto Preminger, and Eli Wallach played the part at various times. They may simply have only wanted to play the part once or twice, or they were later tied up with other projects, making it necessary to cast someone else. Other characters, like Catwoman, were also played by more than one actress.
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