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 the company makes its first advance up the grassy hill through mortar explosions and flying bodies, as the guy next to Captain Staros takes a turn with the binoculars, watch carefully. You'll see he has them pointed down into the grass, not up the hill where the fighting is occurring. Further, the field has zero visibility from gunsmoke, which would prevent him from seeing anything anyway, even if he did have them properly aimed. (00:47:35)
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: Christopher Reeve's nurse has just installed the camera, and they are showing it to Daryl Hannah. During a close-up of Jason Kemp's camera displayed by a monitor, she notices that the woman victim of domestic abuse is wearing too much make-up for that time of the morning, no doubt to hide the results of the beating she took. Jason does not move the camera at that point, but a minute later he (it actually looks like she is the one doing it, but there's an engine buzz so it should be Jason operating it, not her turning it by hand) rotates it to the right. The visual in the monitor is unchanged from earlier even if the camera moved. (00:33:30 - 00:34:30)
Other mistake: During the intro, the Poet (voiced by the author of the original book, Luis Sepúlveda) is frying a couple of eggs. When he does his dramatic rendition though, he moves the frying pan in ways that would certainly spill its content. (00:01:20)
Other mistake: The number plate on the car that Bruce Willis is driving with Simon in has different numbers on the back from the front.