Continuity mistake: Catwoman gets hit in the back by some stagelights that fall with her (we see both supports cables severed). Batman saves her holding her in his arms, but the lights never crash to the ground. (00:40:25)
Continuity mistake: The first time Bruce's friend Thomas is shown lying down in the alley, blood comes from the right corner of his mouth, the left being clean. Moments later, it's the left side of the mouth to show the stream of blood. (00:41:00)
Continuity mistake: With one of the first punches, Batman sends Joker gut-first into some crates, who end up knocking down a trash can in domino effect. The lid flies off, but in the next shot, the can is on the ground with what appears to be the lid still on. There is actually a lid on the ground a meter away though, so the lid doubled or they drew a huge upper rim to the can that was not there earlier. (00:41:25)
Continuity mistake: Batman looks at his bloodstained gloves in close-ups, but when he stands over the Joker and leaves, they're perfectly clean. (00:43:05)
Continuity mistake: In the first wide shot of the crowd at the funeral, a blonde woman does not have an umbrella. A closer angle follows, with Selina showing up, and the blonde woman's umbrella shows up as well. (00:44:10)
Continuity mistake: After apprehending Riddler, Batman crashes the window of the building where Hush appeared. By the window is half a mannequin, with a big shard of glass leaning against its pedestal. The glass quickly disappears (as most pieces of glass change place between shots) and the mannequin a couple of shots later ("We already have" line) is a full figure one. (00:49:40)
Continuity mistake: Batman waits for Catwoman to be back home and tells her to leave town. She pours herself a drink and does not put the lid back on the decanter. And yet, in the next shot, it's closed. (00:51:20)
Continuity mistake: When Alfred brings tea and biscuits in the Batcave greeting Selina, the teacup does a 180° between shots. (00:54:40)
Continuity mistake: After the montage with Batman and Catwoman partnering up to defeat Penguin and other villains, there's a view of the Batcave where you can make out of the shower and some clothes on the ground. It's easy to see the yellow bat-belt. But that belt is in front of the stairs when Alfred arrives, and when the shower is seen, there are other things in front, like Batman's full cape. (00:55:55)
Continuity mistake: The napkin on top of Bruce's croissant tray changes position between shots; in the first wide shot it's on the back of the tray and tucked all the way towards Bruce's right side, and when Selina approaches it's towards her side, the left one. (00:56:10)
Continuity mistake: Selina at the breakfast table puts down a flyer for "Extreme vacations!" (exclamation point included). It's turned towards her, but in the next shot it's already turned towards Bruce. (00:56:30)
Continuity mistake: During breakfast, Selina is holding the cup in different ways across shots. In one the cup handle is missing, then she has the thumb in the handle, then on the rim of the cup. (00:56:40)
Continuity mistake: Nightwing drops the vial with the antidote for Crane's gas. It rolls to his side, but a moment later when he springs up to fight Catwoman the syringe is behind him. (01:01:50)
Continuity mistake: When Batman and Jim Gordon are smashed through the wall of the interrogation room (which is directly in front of the cells for some reason), Batman is holding Gordon close and drops him during his landing, but in the full view of the corridor Gordon is at a right angle with Batman and distant, as if Batman launches him aside, which he did not (nor it would be physically possible). (01:05:50)
Continuity mistake: Felons get up from their prison bunks to cheer Batman's opponent. The two guys Batman lands in front of are holding their hands on the bars in a different way between the two shots. (01:05:55)
Continuity mistake: When Batman bombs Clayface's clay face off, the monster loses control over the right arm that was keeping him pinned, but reels back with two fully formed arms and hands. (01:06:50)
Continuity mistake: Batman pulls from his back pocket the microphone/mind control thingy that Hush was using, and holds it in his fist. In the first shot though it's drawn upside down and the cables are sticking out from the bottom of Batman's fist. In the subsequent shots Batman is holding the device in the same raised fist by those cables. (01:07:40)
Continuity mistake: In the factory, Batman lies down the corpse horizontally/across the ramp he's walking on, but when he runs off, the body is turned 90°. It's already baffling that he took the time to deal with it at all, even more unlikely that he'd drag it on the floor looking for the best Feng Shui arrangement for it in the hostile environment. (01:10:10)
Continuity mistake: Once Batman falls to the ground after Hush first shoots his line, there are 3 different angles in shots of him lying on the ground. In each, the position of his arms change slightly in how outstretched they are above his head, and being closer or further away from his head. (01:11:14)
