Continuity mistake: When Bugs is at the theatre, you can see he a man sitting next to him when he finds his binoculars, but when Bugs sees Elmer in front of him, we cut back to Bugs and the man next to him has disappeared.
Continuity mistake: When Bugs (dressed as an old lady) attacks Elmer with an umbrella for pushing past him whilst watching the movie at the theatre, he is sitting in the back row. When Elmer finds out that the "old lady" is Bugs is disguise and goes to attack him, Bugs is now sitting in the front row.
Continuity mistake: When Bugs takes the carrot from the vending machine at the Candy Bar, you can see there is nothing around the carrot, but in a close-up, it is now in a plastic bag.
Continuity mistake: When Elmer realises that the old lady who attacks him is Bugs in drag, and goes back to hassle him before Bugs screams for the usher, you can see that there is no-one sitting next to Bugs, but when Bugs and Elmer show up at the theatre at the start, the whole row (save the seat on the far end where Bugs sits to start with) is filled with people.
Continuity mistake: When Elmer chases Bugs from the balcony to a different theatre, you can see that Elmer's hunting suit is brown but when he enters the enters the theatre his suit is now green.
Continuity mistake: When we first see Elmer with his Wabbit Detector, you can see the box has a knob at the corner of it, but when we see a close up of Elmer turning the knob, it has moved further up.