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.
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.