Walk the Straight and Narrow (2) - S2-E2
Visible crew/equipment: After Archer and his goons have hit the armored truck, when the security guard pulls out the bag of money from the back of the truck and shows it to his partner, the chalk T-mark is visible on the ground between their feet. (00:10:20)
It's the Way You Play the Game (2) - S2-E26
Visible crew/equipment: When Batman and Robin visit Laughing Leo's Used Car Lot, the side of the Batmobile reflects a whole row of big square studio lighting panels. (00:06:30)
It's the Way You Play the Game (2) - S2-E26
Visible crew/equipment: The Batmobile has just pulled away, and as Andy waves good-bye, the camera shadow can be seen moving rapidly offscreen at the lower lefthand corner of the frame. (00:04:25)
The Bird's Last Jest (2) - S2-E28
Visible crew/equipment: Batman tilts the Bat Shield just a little too much when he and Robin are under fire from Penguin's goons, and it captures a pretty clear reflection of the camera rigging. (00:04:00)
Penguin Sets a Trend (2) - S2-E43
Visible crew/equipment: The Batmobile, responding to Batman's remote control activator, is supposedly driving itself through Gotham City's streets. But in one shot, even though he's crouching down, you can see the head of the film crew member actually driving the car. (00:03:00)
It's the Way You Play the Game (2) - S2-E26
Visible crew/equipment: After Batman gets out of the Batmobile, you can see the lighting rigs, boom mic, camera and crew reflected on the Batmobile's side.
Caught in the Spider's Den (2) - S2-E56
Visible crew/equipment: When Batman and Robin are caught in Black Widow's web, the wires used to operate the spiders are visible.
A Riddling Controversy (2) - S2-E46
Visible crew/equipment: During the "Batfight" at the end, it is extremely obvious that the Riddler is a stuntman and not John Astin, note that the stuntman does not have a mustache.
Penguin's Disastrous End (3) - S2-E44
Visible crew/equipment: As O'Hara goes to move his patrol car, the boom mic and lighting equipment is reflected on the windows.
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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