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.
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.
Continuity mistake: At Rav-N-Fest, Famine can be seen destroying the same decorations several times between cuts.
Continuity mistake: When Jimmy and War are fighting with the burning sticks, in several shots the sticks go from being on fire, to put out, to partially on fire, etc.
Continuity mistake: When Lily's brother threatens Jimmy with the gun towards the beginning, in the first shot he still has the flowers and ring in his hand, but in the next shot they are suddenly gone, and he is getting his gun.
Continuity mistake: When Jimmy rescues the young boy, in the first shot he under the side of the large cloth tarp, but suddenly about two shots later, he is in the center, without having time to get there.
Continuity mistake: The position of the protesters changes in almost every shot in the very beginning.
Continuity mistake: When Jimmy and Lily meet in the beginning, the people in the background change in some of the shots.
Continuity mistake: When Jimmy first awakens, after he crawls out of the water, his body is in a different position and much further away from the water in the next shot.
Continuity mistake: When Lily's brother gets into his car in the beginning, he turns his head away from Jimmy twice between cuts.
Continuity mistake: When Luc's cronies beat up Jimmy after he enters the store, in one shot War kicks him and then the camera cuts and he is suddenly helping Famine lift Jimmy.
Continuity mistake: When Jimmy meets Lola and Luc at Rave-N-Fest, the position of the hands Lola is eating grapes with changes between shots behind and shots facing her.
Continuity mistake: There is a barrel of burning material outside the church that goes from burning to put out, to burning again between several shots.
Continuity mistake: Lola's hands are stained with wet, dripping blood at the end of the movie for no apparent reason, as nothing happened to bloody them up before that.
Continuity mistake: When Luc and his gang barge in on the wedding, in one shot the bride is facing forward, but in the next shot, her head is turned to look back, and then turns back forward.
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.