Deliberate mistake: After Ash's body is incinerated, the interior walls of the Nostromo appear more metallic and grey than they were before. According to Ridley Scott, this was done deliberately to make the alien's presence appear more menacing.
Deliberate mistake: After having wrestled with Santini in his office, Col. Virgil Hedgepath tells Santini, "And no more assaulting corporals in the latrine." Marines use the naval term "head" in refering to the restroom, and would never call it "the latrine." However, since "latrine" is better known to civilians, this could be a deliberate mistake by the film makers.
Deliberate mistake: In the scene where the Punks follow the Warriors into the bathroom, Rembrandt sprays the head punk with his red spray paint. However, the spray coming out of the can is clear, not red.
Deliberate mistake: When George spies on his hedonistic neighbor down the hill with his telescope, the telescope is always level when it actually should have been pointing downward. Same when his neighbor spied on him - his telescope was always level also when it should have pointing upward.
Deliberate mistake: During the space battle, one of Drax's men gets his back pack blasted. (1:46:37) His entire pack explodes so that his jet pack and life support are destroyed. But as a result of that blast, all the parts from his suit FALL DOWN! Even though there's no gravity.
Deliberate mistake: None of the helicopter's in the movie have the Army markings seen on Vietnam era Hueys. The most you'll see is some crooked, faint and inaccurate stencils in the wrong spots. (00:37:50 - 00:51:25)
Deliberate mistake: When Rocky meets the kid that has his entire overbody and head covered in gypsum you can see that it is fake as the gypsum on the kids head is loose. The kid can move his head inside of it. (00:12:35)
Deliberate mistake: Though the loose ferris wheel keeps rolling for over a mile, the guys seated on it remain in the same position all the time instead of rolling down and getting crushed by it. Furthermore, they disappear in the wide shots and the wheel appears empty.
Deliberate mistake: Despite it being demonstrated multiple times earlier in the film that vampires do not have a reflection, a key moment features the undead Mina being revealed in a reflection in water. The filmmakers said they were aware of the discrepancy but ultimately decided the visual was striking enough to bend the rules for.
Deliberate mistake: When the inmates first leave their cells we see at least 2 that have white or light colored shirts on instead of prison blue.
Deliberate mistake: In the basketball scene against Camp Mowhawk, the Mowhawk players' shorts have been pulled down a little, making it easier for the Camp Northstar players to pull them down all the way.