Visible crew/equipment: Throughout the movie, in the shots of the guys on the alien planet, the white reflector screens and film crew's reflections are visible in their sunglasses. (00:40:20)
Continuity mistake: In the scene where Drax's assistant, Corine Dufor, is being pursued to her death by his doberman dogs, she starts off with bare legs and high heels, but a couple of seconds later she's now wearing trainers and blue socks.
Continuity mistake: When the crew is outside and they're going to lock Blair in the tool shed, you can see someone nailing wood across the window on the front of the shed. The pieces of wood are horizontal. In the next shot (inside the shed), if you look at the window in the background, the strips of wood are vertical. When Mac goes back outside, the wood is horizontal again.
Factual error: In the scene where Picard opens a viewing port and shows Lilly that she is in a starship orbiting Earth he shows her New Guinea and Australia. New Zealand is missing. (00:42:45)
Suggested correction: Actually when you look at Australia and New Zealand from orbit, New Zealand is a lot further away from Australia then shown on a map, also a lot more south of Australia. A map is a 2D image of a sphere, causing proportions to be off (its well known Africa is a lot smaller on maps than it is in real life). Especially the further south or north you go distances are way off. The depiction shown in the movie is actually correct, in that angle New Zealand is just outside of the frame. There are plenty of pictures from orbit to compare.
I looked at the same angle of this area in Google Earth, and the northern part of New Zealand should definitely be in the frame.
Visible crew/equipment: Look over Val's right shoulder as Rhonda is supposedly driving upside down with her legs sticking out the back window of the truck cab and you can see a man driving for her. (00:42:40)
Continuity mistake: When the man is pinned to the wall by the Predator's spear there is a close-up shot of his feet showing a box beside his right foot. When it cuts to a shot from the side of the man the box is gone. (00:31:35)
Continuity mistake: When the Apes are trying to break into the mutant's church, Mendez looks towards the Alpha/Omega bomb, and is wearing a cream-colored jumpsuit with a purple sash. When the Apes do break in, his sash has disappeared. (01:25:50)
Continuity mistake: When Dr. Elliot is doing his presentation, there is a large TV on a stand, with a VCR, which suddenly vanishes halfway through. (00:11:10)
Revealing mistake: A giant lizard is stepped on by Boone. The lizard's skin turns red after being stepped on. It becomes so red that a nearby rock begins reflecting the red light. (01:55:40)
Visible crew/equipment: When Rains wakes up she stands up and shouts "Where is she? What have you done with her?" you can see the camera's shadow moving on her. (00:18:10)
Revealing mistake: Roads are visible in the background during the climatic fight sequence on Veridia III, even though the planet is uninhabited. (01:40:35)
Visible crew/equipment: In one shot at the end, when all the surrogates fall to the ground, you can see a few crew members (one with a white megaphone) standing in the street in the upper left corner. (01:19:55)
Continuity mistake: As "Sandman" is making its bombing run, the bomb door is opened - in the next side angle shot of the plane, the door is shut again. (01:56:00)
Revealing mistake: When the plane first lands at Bangor airport, the words 'American Pride' on the plane are reversed, like they are reflected in a mirror in one shot as its wheels hits the runway. (00:50:55)
Other mistake: When He-Man is fighting against the centurions on the floating disks, he tells the others to get inside a building. As he opens the door to the building, not only does it fall right off the hinges, but his sword also falls right off his back, pulling his cape off with it just as the scene ends. (01:09:20)
Continuity mistake: Aeon pushes Freya onto a table as they fight, and knocks over a lamp. In the next shot the lamp's upright.
Continuity mistake: Notice the candle on the table in the Italian restaurant scene during Capt. Kirk and Dr. Gillian dialog. It changes height depending who is talking. (01:03:50 - 01:08:30)
Continuity mistake: After Jonathan saves the baby from the car he goes to the funeral. In the funeral he starts talking to the baby's father and while they are talking you see a bald man with glasses pass by and glance at the baby and then in another scene you see the same bald guy pass again. (00:59:30)
Continuity mistake: When J falls off the green car by The Factory, cardboard boxes, a woman and a sailor magically appear out of nowhere. (01:01:40)
Continuity mistake: In the scene on top of the drill, Kirk falls off the edge. When Sulu helps him up, he's holding onto the platform with his right hand and being helped up by his left, but in one shot he's holding on with his left hand, and being lifted up by his right. (00:57:25)