Mind Stealers from Outer Space: Part 1 - S2-E10
Continuity mistake: The doctor's arms change positions, and holds a stethoscope that disappears and reappears as he speaks with Diana Prince.
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.
Fausta, the Nazi Wonder Woman - S1-E3
Continuity mistake: When Diana chases after Horst she changes into Wonder Woman and her boots have heels, but when she lassos Horst the heels vanish and the boots are now flats.
Wonder Woman vs Gargantua - S1-E7
Continuity mistake: When Wonder Woman arrives at the warehouse where Steigler is being held, as she's using her lasso to scale the building the high heels on her boots have vanished, and they're now flats. This switch also occurs in previous shots, as well as at the start when Erica Belgard is disguised as Wonder Woman.
The New Original Wonder Woman - S1-E1
Revealing mistake: When the elderly woman fires the submachine gun at Wonder Woman, the sparks created by her bracelets are bigger and brighter than usual, and we can see the wires under both of her arms to help create those special effects. We can even see the wires' shadows on the wall behind her.
Wonder Woman vs Gargantua - S1-E7
Revealing mistake: After Erica shows Gargantua the window of Steigler's location, when the gorilla climbs up the building we can see the end of the hairy sleeves, and the wrists/hands of the stuntman in the gorilla suit. Then on his way down we can see the end of his hairy pants at his ankle.
The New Original Wonder Woman - S1-E1
Visible crew/equipment: To break the deadlock during the Tournament of Athletic Games, the last event is bullets and bracelets, and when Diana fires and hits her opponent, VIII, the wired remote that controls her bracelet sparks is visible in VIII's right hand.
Wonder Woman in Hollywood - S1-E14
Factual error: Wonder Woman is flying to Hollywood, and the iconic sign is shown. However, in the early 1940's (when this season is set), the sign read 'Hollywoodland'.
Revealing mistake: Wonder Woman lifts the rear of the toy maker's van. During the pan from the rear wheel to Wonder Woman you can see the jack holding the van up.
Factual error: In the opening sequence, a man placing dynamite on the truck is dressed in a camo-type uniform. This type of clothing was not introduced until 1981, and the episode was set in World War II.
Suggested correction: The camo type/color seen was around during WWII. It should also be pointed out the mistake claims it wasn't introduced until 1981, but the real life filming occurred in 1976. So they can't have been using camo type during filming that wouldn't even be introduced for another 5 years.
Continuity mistake: Throughout the show Wonder Woman goes from wearing heeled boots to flats, most notably when she does her leaps.
The New Original Wonder Woman - S1-E1
Other mistake: After Von Blasko has given Drangel his orders Von Blasko wishes him "good hunting," and when it cuts to the shot of the aircraft taking off, we see the backwards number "5" revealing it's a flipped shot.
Wonder Woman vs Gargantua - S1-E7
Continuity mistake: After Gargantua slams Steigler into the desk, Steigler's body can barely be seen on top of the desk and looks like most of his body is behind the desk. However, when the MP enters the room, Steigler is shown to be on top of the desk and his whole body can be seen. Gargantua didn't move him and Steigler is unconscious.
The Feminum Mystique: Part 1 - S1-E5
Revealing mistake: When Wonder Woman goes to flip the guy out of the Jeep, he jumps out of the Jeep and right into her hands just before she flips him. The problem is that when she grabs him, just before she flips him, you can see his shirt all puffed out in the back with the distinct outline of a big pad or cushion of some kind to cushion him after he's flipped.
The New Original Wonder Woman - S1-E1
Other mistake: The newspaper reads "Major Steve Trevor Dies in Crash", followed by a single paragraph, then the story is about something completely unrelated.
Fausta, the Nazi Wonder Woman - S1-E3
Continuity mistake: Wonder Woman reveals her belt gives her superhuman strength. In the scene where she is strapped to a board, the Nazi officer throws the belt and lasso at Wonder Woman, but she only catches the lasso. Wonder Woman still regains her strength though and breaks free of the straps. In the next shot however, she is holding both the lasso and the belt.
The New Original Wonder Woman - S1-E1
Factual error: When Wonder Woman drops Steve off at the hospital, the nurse (a first lieutenant) is wearing her silver bar vertically on her collar. It should be horizontal.
Judgment from Outer Space: Part 1 - S1-E10
Continuity mistake: When Wonder Woman is about to enter the spaceship, we see a close-up of Wonder Woman's lips because she whistles the tune that opens the ship's door. At the beginning of the next episode (which takes place a few minutes later in the story's timeline), we see another close-up of Wonder Woman's lips. This time, she's wearing lipstick, although she hasn't had time to put any on.