After escaping Riddler's death trap, Batman calls Commissioner Gordon on the hot line, and Gordon takes the call on the customary red phone. Despite that, Gordon asks who is calling.
Linda Gaye Scott is the heiress to the Scott paper company.
If you look closely at Moth's outfit, it resembles a prototype outfit of what Batgirl would wear in the third season.
The Batcycle is several hundred feet away when Dove and Eagle-Eye spot The Dynamic Duo coming and Eagle-Eye says in a normal tone of voice that he's seeing ghosts. Somehow Robin hears him despite the distance when he jumps out to punch them.
Batman bets Robin that the street corner holdup that Penguin foils is a charade. They don't seem to be sure, but the man committing the robbery is Dove, one of Penguin's henchmen that they fought earlier. Dove is even wearing the same outfit and helpfully has his name emblazoned on his chest, but they still don't recognize him.
Goof: Batman says he has a camera in the Batmobile which might suggest an interior mounted camera, but the footage he watches is filmed from the exterior of the vehicle and beyond the vehicle.
For once this season, The Dynamic Duo don't stop at Police HQ at all; instead, they are notified by Batphone as they travel through Gotham City.
In this episode we find out that Robin weighs 132 pounds and 10 ounces.
Catwoman selects a volume of the History of Gotham City and settles on "Chapter XII The Lost Treasure of Captain Manx."
When the "quick-drying" epoxy glue is blown off of Batman's left wrist, you can tell it is merely a rather flimsy saran wrap which isn't solid or even liquid at all.
At the studio, Batman cuts through one of the two ropes holding the net up. However, that side stays suspended until he cuts through the second rope on the other side. Then both sides drop simultaneously.
When Batman, Blaze, and Robin run around the corner chasing False Face, right before they knock False Face off his motorcycle, there is a clear shot of the stuntman playing Burt Ward and he's at least 10 years older than Burt Ward.
When Batman unmasks "Commissioner Gordon" at the end, Batman's body partially blocks "Gordon's" face, but it's still clear that False Face's is unmasked before Batman removes the Commissioner Gordon mask.
False Face's henchmen are named after security agencies: Pinkerton & Burns of the detective agency, and the Brinks Security.
Stafford Repp, despite the fact that Chief O'Hara is supposed to be unconscious, is rather noticeably walking himself into the Trick-Truck.
Rather foolishly, Falseface straps Batman and Robin to two separate sets of parallel tracks. The passing subway car would kill one of them, but not both.
Dick places the Bat-TV camera on the counter, facing it directly toward Suzie and Nick. However, when Batman watches the scene from the Batmobile, he's looking at them from a side angle. Later, when Nick walks up to the counter and offers Dick a cigarette, the camera angle moves again even though the camera doesn't, and the monitor shows them from a side angle.
In the Batcave, Batman says it's a school holiday when he sends Robin to the candy store. However, later at the bar, Batman says that Suzie is at the school on a Saturday practicing cheers. Saturdays aren't school holidays.
When Batman calls to the basketball players, he lowers his cape. Then the camera cuts to Joker and Batman is holding his cape up again. Then they cut to Batman and his arms are casually lowered again.
Not for the first time, one wonders exactly where Batman keeps his Bat-Shield. It folds into quarters, which still leaves you with a piece of flat plastic about a foot square. Conveniently Adam West vaguely tucks it back behind his back and then the camera cuts away.