Other mistake: When Cain's eye is damaged in the fight the officer says he will only be good for cannon fodder, with no depth perception. So how can he be driving an armoured vehicle?
Suggested correction: He has been given a replacement eye, which takes care of the problem. He's just angry because Caine 607 didn't win perfectly and showed weakness by being out thought.
Other mistake: Before the job, in the car, Don Cheadle, in the back seat, hands out a hacksaw, a ratchet and a pump-action shotgun, which he pumps before handing it over. The man taking the shotgun immediately pumps it again, which means it's been pumped twice, and a cartridge should have been ejected, but it wasn't. Or the gun's empty, in which case there was no point pumping it once, let alone twice.
Other mistake: When Riggs and Murtaugh are assigned as new captains, they throw their old badges to the Chief and he catches them in his left hand as he grabs the new badges out of the desk draw with his right. In the next shot where he passes them the new badges, he is not shown to have swapped the badges over, so essentially he passed the old ones back to them.
Other mistake: When Charlie is helping Jack watch TV through the window, his mother comes in and talks to him. By this point Charlie has stopped changing channels, but we can see the channel change effect once more.
Other mistake: When the film starts, Dolittle drinks from a yellow cup, the angle changes to behind his shoulder and it's perfectly obvious the cup is empty. Then, despite this, he keeps sipping and moving his mouth all the time.
Other mistake: Right before Blade confronts Frost at the end, he is shown beating up several henchmen vampires using punches and kicks, before grabbing his sword. As he grabs his sword, you see several of the henchmen vampires "burning up" in the background. However, it was earlier established that to "burn up", vampires had to be killed by traditional means. (Staked with silver, exposed to sunlight, etc.) So it makes no sense for these henchmen to burn up from only being punched/kicked. It can't be due to his sword, as he twirls it in front of them, and only after they are already burning up.