When Jerry the Mug is shot in the back by the cops, his gun falls out of his hand as his body goes limp and then after the gun had already landed on the floor, Danny takes out the camera and snatches pictures of Jerry. But when the pictures get published in the newspapers it now shows Jerry the Mug with a gun still in his hand as he gets shot.
During the car chase after Danny has left the execution at Sing Sing, the car loses its left rear tire. However, in a couple of shots from the front of the vehicle as it careens out of control, the left rear tire is visibly intact.
When Danny is showing the journalism students around the newspaper plant, he has two pencils in his jacket's handkerchief pocket. But throughout the cuts that follow, the pencils keep changing positions.
When Allison knocks out McLean while he's driving, both his hands come off the steering wheel and slump down to his side. But on the following cut as the uncontrolled car begins to crash, both his hands are now holding on to the steering wheel.
James Cagney's suit goes from dirty to clean to dirty again during the car chase from Sing Sing and the subsequent subway ride.
Danny opens the door of the press room to show the machines producing the newspaper. But the press room is on an upper floor, as has just seen been shown by Danny's having climbed up a fire escape to reach it, and press machines, which are extremely heavy, would always be on the ground floor.
When Danny and Allison are playing ping-pong, Danny whacks a shot right at Allison, and with the camera aiming at Allison in next cut, more than one ball flies into the screen: one hitting the table and the other hitting the curtain behind her.
For the purposes of the plot, the policeman supervising the execution at Sing Sing is the father of Danny's girlfriend, who is on the New York City force. But Sing Sing is forty miles outside New York City, so he has no jurisdiction there.
Danny goes on his first assignment as a photographer without taking a camera. He steals an existing photograph of the subject, so everything is fine, but it's daft that he has no camera of his own.