Continuity mistake: When Wonder Woman is spinning the XPJ-1 around, she's seen approaching the jet with her hands empty and her lasso on her side where it usually is. As the scene progresses, her golden lasso magically appears in her right hand even though she never reached down to pick it up.
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: When Fausta helps Wonder Woman and Steve escape, they climb the rope out of the water. Steve's pants are obviously wet as he's climbing the rope. However, when he climbs over the side of the well, the camera angle changes and his pants are magically dry.
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.
Revealing mistake: After the explosion we see a shot of the fire in the second story window, and when Wonder Woman leaps up to the window the smoke is going into the window instead of out, which reveals it's shown in reverse. The boots she's wearing are also flats which then change back to heels.