At the end of the film, when the lieutenant enters the bus terminal, he leaves his car behind the street sign, but the car has moved forward when he returns.
When the lieutenant goes out at night he wears a suit with a red shirt, this can be seen when he is chatting with the girls outside of their car. However, when he enters the church, his red dress shirt changes to a red button-down sweater.
When the lieutenant stops the Jersey girls, he's talking to them through the open driver's side window. When the camera angle changes, it's clear the window is rolled up.
In the club, when LT is snorting drugs with the tall guy, the Lords of Acid song "Let's Get High" begins to play (at the middle of the song) right before the scene is cut. Then, in the next scene, LT is in a different part of the club and we hear the same song start playing again, but this time it starts from the very beginning.
The New York Mets comeback to win the pennant after losing the first three games in the playoffs never happened. Only one team has ever achieved this and that was the Boston Red Sox in 2004.
When the lieutenant stops the car with the two rapists inside, a passerby seen through the driver side window points at the car and can be heard saying "They got a camera."
Just as the lieutenant is leading the boys into the train station near the end of the film, a cab driver (obviously not a paid extra) is seen waving to the camera.
When the Mets win the pennant, the Mets
catcher rolls the ball toward the mound and runs toward the dugout. This is obviously the end of an inning, but not the end of a game.
During the conversation with the Jersey Girls, when the lieutenant asks the Jersey Girl driver to simulate a sex act, she briefly looks directly into the camera and titters.
When the lieutenant is getting the $30,000 from the drug dealer, he sits down and watches TV. The audio from the game show can be heard repeating itself. Towards the end of the scene, it repeats suggesting that it was a limited clip on a loop.
Towards the end of the scene in which the lieutenant is shooting heroin with Zoe, there's the shadow of a crew member slipping into the shot in the lower-right part of the screen.
When the lieutenant shoots his radio, the shadow of what looks like the mounted car camera lens and microphone can be seen cast on his jacket.
When Daryl Strawberry hits a home run, the scoreboard is shown. The score clearly does not match what the announcer then says it is.
At one point during game 4 of the baseball series the radio announcer says, "the next two games are at Shea." In no seven-game series format are games 5 and 6 played at the same stadium.