Revealing mistake: When Luc cuts out Jimmy's heart, you can tell it is not really beating and that Luc is just manipulating the prop with his fingers to make it look so.
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.
Revealing mistake: When Jimmy and War are fighting over the gun outside the church, a series of shots is fired, and you see impacts of the bullets inside of the church, yet there are no bullet holes in the walls or doors. The only sign is a single window which blows up, but there is no way all the bullets could have gone through that window.
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.
Revealing mistake: In the wideshot of Death/Satan impaled on the rocks at the end, you can tell the image onscreen is using a split-screen effect, as both sides of the picture wobble slightly in different directions, independent of each other.
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.
Other mistake: Luc Crash is wearing his normal outfit under his prison clothes.
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.
Other mistake: When Jimmy jumps over Pestilence, you can see he is right above him, yet Pestilence is pointing his gun forward, not upwards as he should be doing.
Revealing mistake: After War blows up, not all of the movement of the smoke in the church matches. Some of it is flowing the wrong direction, even though it all came from the same area.
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.
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.