The Bermuda Triangle Crisis - S2-E4
Revealing mistake: When Wonder Woman drops a mine into the water, she's supposed to be dropping it into the ocean. However, you can see a drain plug of some sort in the background and the "ocean" is obviously a pool, or similar.
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.
I Do, I Do - S2-E8
Continuity mistake: When Wonder Woman is chasing the golf cart, in the close-ups, the golf bags are not moving, but in the far-away shot, one golf bag is bouncing all over the place. When they zoom in, it's not moving again.
Continuity mistake: When Diana escapes from the guy who had kidnapped the boy, she runs into the woods wearing a dress. When she starts to turn into Wonder Woman, she is somehow now wearing pants just before she changes into Wonder Woman.
Continuity mistake: Diana spins herself into Wonder Woman before she enters the gym. Watch the trash can behind her - it suddenly disappears. Additionally, in the widescreen version, a security guard can be seen standing between the car and metal door, though surely Diana would not transform into Wonder Woman in right front of someone (the guard is not visible in the original fullscreen version). (00:35:45)
The Return of Wonder Woman - S2-E1
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.
The Return of Wonder Woman - S2-E1
Visible crew/equipment: While the jet is flying over the Bermuda Triangle the steward releases the gas into the air, and when Steve rushes toward him in the wideshot we can see a crew member wearing jeans and a blue shirt, at the right side of the screen.
The Return of Wonder Woman - S2-E1
Continuity mistake: Quite a few of the exterior shots of the jet which Steve is on are flipped shots (including the landing closeup), note the tail number "N207L" is backwards.
The Man Who Could Move the World - S2-E3
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.
Continuity mistake: Wonder Woman jumps through a window, and all of the glass smashes out, everywhere. In following shots there is no glass on the floor or the surrounding area.
Visible crew/equipment: When the hit-man is loading his gun in the alley in preparation to kill Diana, a crew member is reflected in the storefront "Humburgers" window.
The Bermuda Triangle Crisis - S2-E4
Continuity mistake: Steve and Diana steal wrinkled uniforms from a clothesline. However when they put the uniforms on, they're perfectly pressed.
The Bermuda Triangle Crisis - S2-E4
Continuity mistake: After Wonder Woman gets Steve out of the tree, you can see a big shrub in the foreground on the right side of Steve's body. When the camera changes angles, the shrub is suddenly gone.
The Bermuda Triangle Crisis - S2-E4
Continuity mistake: 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.
Continuity mistake: When Mariposa is skydiving out of the plane, any time he's seen from afar, he's wearing a black oxygen mask. When the camera is closer to Mariposa, he's not wearing a mask. However, when he lands, he is wearing a mask.
Visible crew/equipment: After Wonder Woman rescues Nadia's boyfriend by tossing the two bad guys off screen, you can see the shadow of a stage hand adjusting a prop of some kind. This can be seen directly behind Wonder Woman as she's grabbing the rope to go and tie the two bad guys together.
Deliberate mistake: When Wonder Woman is bouncing around in the padded room, there's one part where you can tell the stunt double is not Wonder Woman.
Visible crew/equipment: When Joe Atkinson walks into Steve's office and comments that during WWII he "was wrapped in a cloak and carrying a dagger for the OSS," in the next shot the shadow of the boom mic is moving on the wall, at the top right corner of the screen.
The Return of Wonder Woman - S2-E1
Revealing mistake: After the steward releases the gas on the jet everyone passes out, and in the second exterior shot of the jet as it rocks from side to side, we can see the circular frame of the window from which the jet was being filmed, at the bottom right corner of the screen (this shot is flipped).
The Return of Wonder Woman - S2-E1
Revealing mistake: During the scenes on the jet with Steve and the others, before landing on Paradise Island and when the Amazon women are aboard, the end of the cabin and cockpit sets are visible at either the right or left side of the screen in some shots. (Widescreen version).
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.