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.
Visible crew/equipment: When Jaimie greets Diana for the first time, the filming team and cameras are reflected on her yellow helmet.
Continuity mistake: When Jaimie and Kevin walk to the arcade games, the boardwalk is in shadow. An instant cut later, it's in the light. (00:04:20)
Continuity mistake: Mr. Ketchum is talking with Donalsen in broad daylight when he hears his car being wrecked. When he arrives at the place, it's night time. One can see the lights of the cars zooming behind in the darkness.
Continuity mistake: When Wonder Woman spins around before the skateboard chase, the skateboard points in a 5 o'clock direction. When she transforms, it points in a 7 o'clock direction.
Revealing mistake: The safety platform which Wonder Woman is holding to simulate she is skateboarding is visible on the left side of the screen.
Continuity mistake: During the skateboard chase, Wonder Woman is either on the right lane (stunt shots) or the left lane (actress shots).
Revealing mistake: Wonder Woman's stunt is very noticeable during the skateboard chase, mainly because of her darker skin colour.
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.