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 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.
Wonder Woman Meets Baroness Von Gunther - S1-E2
Continuity mistake: The ladder Tommy is standing on is coming loose from the wall it's attached to, and in the closeups we see the holes in the wall, but in the wideshots the wall is completely undamaged.
Wonder Woman Meets Baroness Von Gunther - S1-E2
Other mistake: After Wonder Woman rescues Steve and another soldier from the burning Old Virginia Stables, in the next shot the textbox onscreen reads, "Shortly therafter in Diana Prince's apartment," but the proper spelling is "thereafter."
The New Original Wonder Woman - S1-E1
Visible crew/equipment: After Diana, who's wearing a nurses uniform, whispers to Steve that she'll be watching over him, when it cuts to Ashley Norman telling Wonder Woman about the booking and front page story, the shadow of the boom mic is moving on the wall at the right side of the screen.
Wonder Woman in Hollywood - S1-E14
Visible crew/equipment: When Drusilla spins into Wonder Girl at the coffee shop, in the next shot as she says, "Excuse me," the actor's T-mark is visible on the floor where she stands.
Visible crew/equipment: After Lampkin tells his buddies to deal him into the poker game and how they'll clean out Diamond H cattle, when it cuts to the Maria and Charlie doing dishes, there is something at the left side of the screen that moves with the camera, which should not be seen onscreen (widescreen version).
Visible crew/equipment: After the children rescue Wonder Woman it cuts to her telling JP and Jeff about it, and when JP tells the kids about Maria's hot apple pie, the actor's tape mark is visible on the rug where Charlie had been standing.
Visible crew/equipment: After Steve finds out the truth about Lampkin, while the Deputy chases Steve in the jeep we can see a bit of the back end of the filming vehicle in one of the shots facing Steve, at the bottom left side of the screen (widescreen version).
Visible crew/equipment: When Wonder Woman arrives at the Diamond H ranch and is introduced to Charlie, just as she kneels down in front of the young boy, the shadow of the boom mic is moving at the top left corner of the screen (widescreen version).
Visible crew/equipment: While JP checks the kids before their breakfast he tells them they could all use more elbow grease behind their ears, and as the camera pulls back the shadow of the boom mic is moving on the wall, at the right side of the screen (widescreen version).
Other mistake: When the two dollar bill engraving plates are being stolen from the Bureau of Printing and Engraving (in reality it's called Bureau of Engraving and Printing), in the closeup of the plates we see the obverse and reverse sides do not look like the images on real two dollar bills of that era (perhaps this was deliberate, but still an error).
Formula 407 - S1-E12
Continuity mistake: After Diana sidesteps Antonio's advances, when Wonder Woman rushes off to save Steve she's grabbed by one of the Nazis who holds a chloroformed handkerchief to her face with his right hand, but in the closeup it's in his left hand, and then it's back in his right hand.
Judgment from Outer Space: Part 1 - S1-E10
Visible crew/equipment: When Steve is telling Diana about the full scale search for Andros while they're in Steve's office, just as Steve sits down the camera pans to the left and we can see the shadow of the boom mic moving at the top left corner of the screen, as well as the end of the set wall at the left side of the screen.
Continuity mistake: When Wotan and the other two Nazis arrive in the rubber boat, during the scuffle Steve is wearing boots, but his stunt double is wearing completely different shoes.
Visible crew/equipment: When Hank kicks Steve down the basement stairs, in the following shots the shadow of the boom pole/mic is moving around on the wall, at the left side of the screen. Then after Steve picks the lock on the chain he opens the back door, and the shadow of the boom mic is moving at the top of the screen.
The Feminum Mystique: Part 2 - S1-E6
Revealing mistake: When one of the Nazis brings Drusilla a hot meal while she's being held in the deserted warehouse, in the shot just as she whacks him in the stomach we can see the stunt cable over the Nazi (stunt double) which lifts and pulls him back.
The Feminum Mystique: Part 2 - S1-E6
Continuity mistake: While Nazis are invading Paradise Island, back at the deserted warehouse when one of the Nazis brings Drusilla a hot meal he slams the door shut, but when Drusilla hits him in the stomach the door is suddenly wide open, but when she rushes out of the room the door is closed and she pushes it open.
The Feminum Mystique: Part 2 - S1-E6
Other mistake: On Paradise Island, while the Nazis are distracted by the quarreling Amazons in the water, when Wonder Woman jumps and lands beside Queen Hippolyta her boots are flat, but the heels soon appear when she rushes off with the bracelets. This happens again later, when Wonder Woman chases after the XPJ-1 on the runway.
The Feminum Mystique: Part 2 - S1-E6
Visible crew/equipment: When Queen Hippolyta gives Drusilla permission to go back with Dianna, just Drusilla and Diana kiss their mother goodbye we can see the shadow of the boom mic moving on the wall at the top of the screen.
Answer: The transformation twirling was invented for the 1970s TV series only, to explain her quick change from Diana Prince to Wonder Woman. However, it would have been nice to do a little spin homage in the movie.