Continuity mistake: When the guys are spray-painting words on Jimmy's trailer, as they run away the man on crutches is suddenly much farther away when the camera cuts.
Continuity mistake: When Pestilence drives up and gives war the "Rock on" sign in the beginning, he is driving by some debris and junk in the first shot, but during his closeup in the next shot, he is suddenly in front of a metal fence that wasn't around in the previous shot.
Continuity mistake: When Luc/Lucifer jumps up after coming back to life, in the first shot he is laying on the ground, but in the next shot, he is standing, lunging towards Lola.
Continuity mistake: When Priests' wife hugs Jimmy, in the first shot, her hand is flat, and unfolded, yet in the next shot, it is folded into a fist.
Continuity mistake: The scorpion on Jimmy's chest moves around in some close-ups, but in wide-shots it is always perfectly still in the same spot.
Continuity mistake: The Open/Closed sign on the door at Lily's shop appears and disappears once or twice throughout the torture and execution scene.
Continuity mistake: We see two groups of children throwing things at each other in the beginning. Then in one shot (Through the scope of a gun) we see one group run off. Then a few shots later, they are back exactly where they were before.
Continuity mistake: When the car explodes in the beginning, in the first shot it is actually exploding, but in the next shot, you can tell it is simply on fire, and not exploding as in the previous shot.
Continuity mistake: When he is killing Jimmy and Lilly, the amount of Death's cigarette that is burnt up changes between some shots.
Continuity mistake: The opacity of the blood on the knife Lucifer pulls from his side changes from translucent to completely opaque as he hands it to Lola/Shorty.
Continuity mistake: When Jimmy goes to find Lily's dead body in the freezer, in one shot he is walking slowly, and you can hear him splashing lightly through the water. Then in the next shot he is suddenly stumbling forward rather quickly, splashing water all over.
Continuity mistake: After first being brought back by the Crow, Jimmy looks at a reflection of himself in a metal toaster. In the wide shots he is moving all around, flinging the toaster about through the air, but when it cuts to closeups, it is always perfectly still, on the ground.
Continuity mistake: Jimmy's bike goes from being on the ground to standing up perfectly on it's own as Lily's brother drives away.
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.
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.
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.
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.
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.