Continuity mistake: In "The Feminum Mystique (2)" 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: In "I.R.A.C. Is Missing" 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: In "The Return of Wonder Woman" 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: In "Fausta: The Nazi Wonder Woman" 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: In "The Man Who Could Move the World" 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.
Continuity mistake: In "The Bermuda Triangle Crisis" 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.