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 right in front of someone; she even looks around to be certain nobody is watching her (the guard is not visible in the original fullscreen version). (00:35:45)
Visible crew/equipment: After Wonder Woman rescues Nadia's boyfriend by catching and tossing the two baddies, a woman wearing green and a man wearing brown, off screen, you can see something suddenly emerge and disappear at the doorway, directly behind Wonder Woman, as she's grabbing the toaster's cord to go and tie up the two baddies together. (00:42:25)
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.
Revealing mistake: When Bo and Lois Taggert are tossed by Wonder Woman, check the floor and you'll see their shadows bouncing on a rectangular shadow, which is obviously the crash mat.
Revealing mistake: The phone booth has no cables underneath, revealing it's a prop.
Visible crew/equipment: Stage light reflected on Mariposa's goggles.
Visible crew/equipment: In the gym, when Wonder Woman jumps on the trampoline, a crew member's arm is visible on the right side of the screen.
Revealing mistake: When the helicopter transports the phone booth, the man inside has been replaced with a stiff, unrealistic dummy.
Visible crew/equipment: After Bo and Lois Taggert are captured, Wonder Woman runs back in the room to grab a cable. Then a white object briefly appears on the right. Bo and Lois were not wearing white, so it's either a piece of filming equipment or a crew member's arm.
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.