Wonder Woman vs Gargantua - S1-E7
Continuity mistake: When Diana is left in the office by Steve, she changes into Wonder Woman. When she does, watch the open folder and pen on the desk on the left side of the screen. When she becomes Wonder Woman, the pen disappears.
Wonder Woman vs Gargantua - S1-E7
Revealing mistake: When Gargantua has Steigler under his arm and is carrying him down the pipe, you can see the cuffs at the bottom of the pants legs on Gargantua, even though he's supposed to be a real gorilla and not wearing any pants. (00:15:27)
The New Original Wonder Woman - S1-E1
Continuity mistake: The plane that the German is flying is an American plane, and there are obviously two different model of planes being used through the scene.
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: 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).
Continuity mistake: When Wonder Woman lassos the two hoods who were after Steve, in the wideshot the lasso's small loop is at the left encircling the two men, but in the closeup the small loop is at the right side, then it's back at the left.
Wonder Woman Meets Baroness Von Gunther - S1-E2
Continuity mistake: When Wonder Woman and the Baroness are rolling down the grassy hill the Baroness is wearing open-heel stilettos with ankle straps, but when Wonder Woman throws her lasso the Baroness is wearing classic pumps.
Wonder Woman Meets Baroness Von Gunther - S1-E2
Revealing mistake: After Wonder Woman saves Tommy from the falling ladder, when she uses her golden lasso to descend with Tommy (just a doll) we see her lasso (actually a thin rope) and its shadowy reflection on the windows, but we can also see the glistening of the stunt woman's safety cable as well.
Wonder Woman Meets Baroness Von Gunther - S1-E2
Visible crew/equipment: After Diana sees Tommy in trouble on the ladder she leaves Steve with the Baroness, and when she finds a private area by the lockers to transform into Wonder Woman, the reflections of four crew members are visible at the right side of the screen (widescreen version).
Wonder Woman Meets Baroness Von Gunther - S1-E2
Visible crew/equipment: When Arthur Deal shoots at Steve, just as Wonder Woman deflects the bullet, the remote that controls her bracelet sparks can be seen in her right hand at the bottom of the screen.
Wonder Woman Meets Baroness Von Gunther - S1-E2
Factual error: When Wonder Woman is running toward the burning Old Virginia Stables, she passes a modern 1970s era vehicle parked on the road.
Wonder Woman in Hollywood - S1-E14
Continuity mistake: After Bremer "shoots" Wonder Woman, when Jim runs after Bremer and tackles him to the ground Jim's stunt double is wearing dark rubber sole shoes, even though Jim is wearing brown dress shoes.
Visible crew/equipment: After Steve climbs out of the hole he was trapped in he thanks Charlie, and just as Steve asks Wonder Woman about being in Texas we can see the boom arm (not the mic) moving around at the top left corner of the screen (fullscreen version).
Formula 407 - S1-E12
Revealing mistake: After Major Keller leaves in the car with Steve and the formula, when Wonder Woman rushes in front of Maria to protect her when she's being shot at, the wired remote that controls her bracelet sparks is visible in her left hand, as she moves her arms to deflect the bullets.
Other mistake: When Diana and Etta have their picture taken by Wotan in disguise, Diana makes eye contact with Wotan and in the extreme closeup of Diana's eyes we see that Lynda Carter is wearing modern contact lenses under her eyeglasses.
Other mistake: After Wotan's arrival on the Virginia beach, there are two closeups of Wonder Woman leaping into the air and the "boots" she's wearing aren't actually boots, they are shoes with the high boot part layered over them, and when she's on the beach she's wearing the flat boots.
Revealing mistake: When one of Wotan's fellow Nazis in the rubber boat starts shooting toward Steve, in the closeup of Wonder Woman deflecting the bullets, one of the wired remotes that control her bracelets' sparks can be seen in her right hand, and as she starts walking toward the camera we can also see the other remote in her left hand.
Other mistake: In the two closeups of Steve's two dollar bill being held first by Steve and then by Diana, we can read "1963 A" and the name "Henry H. Fowler" Secretary of the Treasury during Lyndon Johnson's administration, as it appears under the red seal, even though this takes place in 1942.
Other mistake: This takes place in 1942, but modern 1970s era cars can be seen behind Wonder Woman and Steve when the attendants are loading Benson into the ambulance. Then again later, when The Falcon's partner creates a diversion and is being shot at by the guard.
Answer: There is no logical reason. Any normal person would notice these type of absences. The show employs a "suspension of disbelief," which is a literary device where the movie audience or a book reader accepts that certain things are unreal for the sake of the story to be told. It is similar to no-one noticing that Clark Kent looks exactly like Superman because he wears glasses.
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