Other mistake: When the priest is having "gasoline" poured over his body, you can easily tell it is really just water. The liquid is clear, and not tinted yellow, and he doesn't react realistically (as if the strong fumes are burning his eyes and nostrils).
Continuity mistake: We see Jimmy paint the iconic "Crow" black makeup on his face, (around his eyes) but if you look he does not yet have the white makeup on. In the next shot he has both the white and black makeup on, which makes no sense, as the white would cover the black and he would have to reapply it.
Continuity mistake: When the crow comes back to life, Jimmy leaps up twice between cuts as he attacks Luc.
Revealing mistake: When Luc stabs Jimmy and removes his heart, you can easily tell from the distance between Luc's arm and Jimmy's torso that he stopped the knife before it got close to Jimmy.
Continuity mistake: When the crow flies up to the bar, before the fight begins, in the first shot there are no cars parked around it. But in the above shot there is a car parked right next to the entrance.
Revealing mistake: The body of the virgin sacrifice (The black guy) moves when they set Jimmy down after taking him off the cross. His hands move up slightly. And it is not the camera movement.
Continuity mistake: When Pestilence is being soaked with toxic chemicals in the beginning, in the shot where it does a freeze frame, his body is soaked in the chemicals, but he has not been exposed to the spraying chemicals enough for so much to have covered him.
Continuity mistake: As Lily's brother drives away, Jimmy goes from checking his bike, to checking the flowers he has between shots.
Revealing mistake: When Luc pushes Lola into the totem pole at the end, as they begin to have sex, the totem pole, supposedly heavy, sturdy wood, shakes pretty heavily when Lola hits it.
Other mistake: There are several large pools of flammable liquid that are about to explode as War leaves the mine at the beginning, yet they never do explode.
Continuity mistake: When Luc and Lola pull up outside the church, as War is strapping explosives to himself, in the first shot he is ripping tape with his mouth, but in the wide shot, he is not strapping more explosives to his body.
Continuity mistake: When Pestilence kicks the barrel of toxic chemicals in the beginning, in the first shot a little liquid shoots out then it stops, but in the next shot it is suddenly shooting out again at a constant pace.
Revealing mistake: You can see devices under the water where the flames are when Jimmy first awakens.
Continuity mistake: After bringing the priest back to life, in the first shot his wife's head is pointed down, crying, and in the second shot it is suddenly pointed up, and then looks down again.
Revealing mistake: When Lily hits the mirror with her hand, shattering it, the amount of blood on her hand in the next shot is too much to be realistic.
Audio problem: When Lucifer runs the comb along his tongue, you hear the clicking of the "spines", yet he is running the other side of the comb along his tongue, so you should hear nothing.
Revealing mistake: After Luc says "God is finally paying attention" at Rave-N-Fest, you can see an extra in the background, smiling in the next shot, which makes no sense after all the chaos that just ensued.
Continuity mistake: When the bartender leaps over the counter at Jimmy, in the first shot, Jimmy has his back to him, but when it cuts, he is suddenly facing the bartender coming at him.
Continuity mistake: When Lily's father starts crying, before his son comes to him, in one shot he is holding the bible and it is slanted forward, yet in the next shot, it is pointed straight up.
Continuity mistake: At "Rick E. Raven's" pizzeria, when Lily's father is giving his speech, as he says, "I said, 'Stay away from them, stay on your side of the road.'" He goes from his head pointed forward in one shot, to his head pointing slightly upward in the next shot.
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.