Revealing mistake: When Diana is supposed to cut the power cables to stop the timer, just before she cuts the cable, you can see that all the cables are already cut and have a large, obvious seam in each of them. Then, when her hand goes through them, they all cut right at the seams.
Factual error: When Steve gets attacked by the bad guys and Wonder Woman shows up, the lady in the car pulls out a camera and films the event. She sits still, the car isn't moving, and she does all the filming from the same position. However when she watches the playback, the film shows footage from multiple angles and varying distances, which is impossible because she and the camera were in the same spot the whole time.
Continuity mistake: Steve complains that he can't steer the Jeep. The Japanese doctor is using mind control to keep Steve from being able to control the Jeep. However, in several shots, Steve can easily be seen steering the Jeep despite the doctor's continued control over it.
Visible crew/equipment: While the jet is flying over the Bermuda Triangle the steward releases the gas into the air, and when Steve rushes toward him in the wideshot we can see a crewmember wearing jeans and a blue shirt, at the right side of the screen.Super Grover
Continuity mistake: Steve's parachute moves around, even though it's flat on the ground and no one moved it. After Wonder Woman rescues Steve from the tree, Steve is laying on the ground motionless and unconscious. His parachute moves around between the time Wonder Woman walks away and Diana returns, even though nothing could have moved it. It wouldn't be so obvious, except that the material is red and white, so when it changes, you can really tell.
Visible crew/equipment: After Wonder Woman rescues Nadia's boyfriend by tossing the two bad guys off screen, you can see the shadow of a stage hand adjusting a prop of some kind. This can be seen directly behind Wonder Woman as she's grabbing the rope to go and tie the two bad guys together.
Continuity mistake: When Steve lands his plane, all you can see in the background is what looks like a wide open desert. However, when he comes to a stop, the jet is now in the middle of a completely different background and there was not sufficient time for it to go from the desert to this location in such a short distance.