Audio problem: When El Nino is laughing after meeting Satan, when the camera cuts, you can see he is no longer laughing out loud, although his laugh is still heard.
Continuity mistake: During the climax, when Jimmy says "Don't you have any respect for the dead?" In the first shot he is behind the totem pole, but in the next shot, he is standing next to the totem pole.
Revealing mistake: When Lily starts bleeding from the eyes at the end of the movie, you can tell the blood is not really coming from her eyes and was really just applied by a makeup artist.
Revealing mistake: When the bugs are flying into the bug zapper in the bar, the sparks on the bug zapper are far too big to be real, and are obviously small squibs set up on the zapper.
Plot hole: Why would Pestilence let himself be soaked in toxic chemicals in the beginning of the movie when he is out for revenge? It makes no sense that he could possibly be killing himself then and there when he wants to live a little longer.
Continuity mistake: When Luc kicks Jimmy for the first time at the end of the movie, the position of his body kicking Jimmy changes a bit between cuts.
Continuity mistake: Jimmy's sunglasses suddenly disappear as he is walking with the Indians in the beginning of the movie.
Continuity mistake: Lily's brother points the gun at Jimmy in the beginning and pulls the trigger to reveal there are no bullets in it, then he lowers it. But in the next shot it is still up and he lowers it a second time.
Audio problem: When War gives his first "epic" quote at the beginning of the movie, there is a period of about a second and a half when his lips are not moving, then there is a cut, and they are suddenly moving.
Continuity mistake: When War cocks the shotgun in the beginning, one of his hands goes from being at his side, to holding the shotgun between cuts.
Plot hole: "Death" tells his cronies to burn the bodies of Jimmy and Lily, yet when they get to the junkyard, they put the bodies in a very heavy refrigerator, and then push it into a pool of flammable liquid, which they burn. But it could never burn through the thick metal and plastic of the fridge before it burned the bodies.
Continuity mistake: When the crow lands on the ceiling-fan in the bar, its position changes between shots. It goes from being about halfway down the fan-blade to near the end.
Continuity mistake: When Pestilence kicks the barrel in the beginning, in one shot it is falling over and rolling a little bit, but in the next shot it is suddenly perfectly still.
Continuity mistake: When Luc is first endowed with Satan's powers, he is pushed backwards, and the heart he was holding in the previous shots disappears briefly. And this is not because it turns to dust, because you can see he has nothing in his hand.
Continuity mistake: The things in front of Jimmy's trailer change throughout the movie.
Continuity mistake: When Cara Mia pats down Lola, her head suddenly gets much higher that it was when the camera cut.
Continuity mistake: When they walk up the stairs of the church and pause, Luc and Lola's head get much closer after the camera cuts.
Deliberate mistake: Many shots of the crow flying are taken directly from "The Crow: Salvation", the third film, or the first film in some cases.
Continuity mistake: At Rav-N-Fest, Famine can be seen destroying the same decorations several times between cuts.
Answer: As I understand it, it all had to do with a spat between the director of the original Crow movie (Alex Proyas, who had "approval" of all the subsequent Crow movies) the producer of the Crow movie franchise, Jeff Most, and Miramax. Miramax eventually caved in favor of the producer and it was made into a "non-Crow entity" when Miramax reportedly signed Eminem to play the bad guy.