Continuity mistake: Luc walks up to War twice between cuts when he first arrives at the church near the end of the movie.
Continuity mistake: When Luc and Lola are starting to have sex on the totem pole, Luc and Lola's position changes between several cuts. For example, Luc goes from kissing Lola's neck, to sort of sniffing her, back to kissing her neck between cuts.
Continuity mistake: When Jimmy is jumping in a straight line over the tables, he somehow passes Pestilence twice.
Continuity mistake: The position of the deviled eggs on the plate Luc is holding in one scene changes between shots.
Continuity mistake: The first time Jimmy gets shot in the bar, he almost falls to his knees, and we see a quick cutaway to the guy reloading. But in the next shot Jimmy is standing up straight, without having enough time to get back up.
Continuity mistake: When Lucifer turns and says "Honey, I'm home." in the first shot his arms are open, but in the next shot they are closed.
Continuity mistake: When Jimmy is electrocuting Pestilence, in some shots he has both hands on Pestilence's neck, and in others he has only one hand around his neck.
Continuity mistake: When Lola says "a sacrificial virgin to seal our wedding vows" she is reaching towards the cake and putting her finger into the frosting, but in the next cut, he hand is by her face, and there is already frosting on her finger.
Continuity mistake: The hearse driver is high and weaving all over the road in the wide shots. Yet inside the car, we can see his hand is fairly steady on the wheel, not moving anywhere near enough to make it swerve around as it does.
Continuity mistake: The glass cup/bottle that Jimmy smashes against the bartender's face is not in his hand in any previous shot.
Continuity mistake: When the hearse stops, you can briefly see the reflection of the driver in the mirror, and you can see he is not wearing a hat, yet in the next shot in the car, he IS wearing a hat.
Continuity mistake: During the fight at the bar, when Jimmy and the bartender are fighting, the stances and position of their bodies change between several cuts.
Continuity mistake: When Famine is about to punch Jimmy in the stomach in the beginning, he starts to put his hand on Jimmy's shoulder, but in the next shot it is already on his shoulder and he is swinging his arm to punch Jimmy.
Continuity mistake: When Luc and Lola are getting married, they get closer together/farther apart throughout the shots from the front and back.
Continuity mistake: The position of the skull logo on the barrel behind Pestilence changes as he kicks the four men in the beginning.
Continuity mistake: When War is going to blow himself up, as he says "I know your soft spot, Injun lover." his hand goes from being at his side, to up and pointing at Jimmy between shots.
Continuity mistake: When Jimmy's trailer explodes, in the first shot, the air is full of sparks and debris. Then the camera cuts, and almost all the debris in the air is gone, and the building is simply on fire.
Continuity mistake: When Luc says "Tonight, Satan is gonna walk in my shoes." Lola is facing him then turns away, but in the next shot she is suddenly facing him again.
Continuity mistake: When "El Nino" says "Is that really you, original gangsta?", Lucifer/Death's head goes from pointing upwards to pointing downwards between shots.
Continuity mistake: When Pestilence says: "Long enough to see the injuns burn." the position of the gun in his hand changes between 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.