Continuity mistake: When Jimmy is getting ready to propose, in the shot where he pets his dog, you can see in the first shot from in front he is not moving, yet in the next shot he is walking and leaning towards the dog.
Continuity mistake: When Lola is caressing Lucifer, between cuts her one hand goes from his hip to his shoulder. There is a cut where she repeats one of the rubbing motions twice soon after.
Continuity mistake: After falling down the hill, somehow the refrigerator with Jimmy and Lily's bodies in it goes from floating in the pond, to embedded in the ground straight up.
Continuity mistake: When Jimmy puts Lily's necklace around the mirror in the hearse, in the first shot he is still extending his arm to reach towards the mirror, yet when the camera cuts, his arm is fully extended.
Continuity mistake: Lily's brother leans over to pick up his hat in the beginning, and then in the next shot, he is suddenly standing up with the hat in his hand without having time to do so between shots.
Continuity mistake: As Famine is about to pour the gasoline over the priest, in one shot he lifts the canister above his belt-line, but in the next shot, it is suddenly under his belt-line.
Continuity mistake: When the priest's wife is following Jimmy's descent with the gun, in some shots she is lowering the gun to match Jimmy's level, and in other shots, it is pointed in one direction, not moving.
Continuity mistake: A few shots before Luc blows the match out that he is going to burn the priest with, the position of the priests head changes in one shot.
Continuity mistake: When Lily is about to have her eyes cut out, Luc goes from facing them in the background to facing away, to facing away with his feat propped up on the window between a series of shots.
Continuity mistake: When War is going to blow himself up, in one shot he has the fuse to the explosives in his hand in front of his face, and in the next shot it is down by his waist, and his hand is at his side.
Continuity mistake: When Luc is offering War some of the deviled eggs, you can see that Lola is looking around in one shot, then in the next shot, she is in the background, facing forward, not moving at all.
Continuity mistake: When Jimmy is being hanged, after he grabs Luc Crash, you can see the position of his hands around Luc changes between several shots.
Continuity mistake: The barrel in the back of Pestilence's truck is leaking badly through a hole when it first pulls up. Then a few moments later, the hole and leak are gone and the truck bed is perfectly dry. Then he kicks the barrel and the same hole reappears.
Continuity mistake: After Jimmy and Lily are caught by Lily's father and brother, as they walk away, Lily's brother turns his head to face forward twice between cuts.
Continuity mistake: When Luc Crash is escaping the guards in the beginning, the other prisoners all disappear in a number of shots.
Continuity mistake: When the Tribe takes Jimmy down from the cross, in one shot he is laying down with three large metal spear-heads and ropes sticking into his chest. Yet in the very next shot as he rises, they are gone, without him having any time to have pulled them out.
Continuity mistake: When the scorpion is crawling over Jimmy in the beginning, the amount of his shirt that is open changes between shots.
Continuity mistake: When Lilly's brother is arresting Lola at the end, in one shot he walks up to her, but in the next few shots he is standing several feet away, where he was before he walked up to her.
Continuity mistake: When we see dead Pestilence laying on the ground, there is shattered glass all around, yet not that much glass was broken in the previous scene so this makes no sense.
Continuity mistake: When Jimmy wakes up at the beginning of the movie, he is covered with feathers and "fluff" from a pillow. However, the amount of material on him changes between shots and even disappears in some shots.
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.