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.
The Feminum Mystique: Part 2 - S1-E6
Visible crew/equipment: After the Nazis are defeated on Paradise Island, Queen Hippolyta tells her daughters that she has plans for those Nazis, and at the start of the next shot a bit of set equipment is visible at the left side of the screen (widescreen version).
The Feminum Mystique: Part 2 - S1-E6
Visible crew/equipment: During the Nazi rendezvous aboard the destroyer in the Caribbean, when Captain Radl and the other Nazi walk into the ship's stateroom, both unfinished ends of the set walls are visible at the left and right side of the screen (widescreen version).
Wonder Woman vs Gargantua - S1-E7
Visible crew/equipment: When the truck carrying the caged gorilla pulls into the alleyway, just as Hans and Carl exit the truck and walk away, the blue-sleeved arm of the cameraman/crew member is visible as it moves upward, at the right side of the screen.
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
Continuity mistake: An alarm button vanishes from the safe house room wall between shots.
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.
Wonder Woman vs Gargantua - S1-E7
Continuity mistake: When Diana changes into Wonder Woman in Dr. Osmond's lab, the green stool jumps from one location to another in the process and the silver stool disappears.
Wonder Woman vs Gargantua - S1-E7
Continuity mistake: After the Nazis capture Steigler, while they're at the oil refinery Gargantua is in a cage behind them, and when Erica blows the whistle the gorilla reaches through the bars and grabs a large cardboard cutout of Wonder Woman, which was leaning against the wall, but the problem is that in the previous shots that cardboard cutout was not there.
Wonder Woman vs Gargantua - S1-E7
Visible crew/equipment: When Erica and Hans pay a visit to Dr. Osmond, just as Erica walks into the lab and stops in front of Gargantua's cage, the tape mark is visible on the floor in front of her feet (fullscreen version).
Wonder Woman vs Gargantua - S1-E7
Visible crew/equipment: While Wonder Woman searches for Steigler at the deserted oil refinery the Nazis force Steigler to shout for help, then when they all hide and Wonder Woman breaks into the room, the actors' two tape marks are visible on the floor near Steigler.
Wonder Woman vs Gargantua - S1-E7
Revealing mistake: While the circus crowd is gathered around the cage with Gargantua, there's a closeup of the gorilla as he roars and we can see the stuntman's human teeth behind the gorilla's teeth. It happens again in Gargantua's closeup while he's climbing up to Steigler's window.
Wonder Woman vs Gargantua - S1-E7
Continuity mistake: When Wonder Woman arrives at the warehouse where Steigler is being held, as she's using her lasso to scale the building the high heels on her boots have vanished, and they're now flats. This switch also occurs in previous shots, as well as at the start when Erica Belgard is disguised as Wonder Woman.
Wonder Woman vs Gargantua - S1-E7
Revealing mistake: After Erica shows Gargantua the window of Steigler's location, when the gorilla climbs up the building we can see the end of the hairy sleeves, and the wrists/hands of the stuntman in the gorilla suit. Then on his way down we can see the end of his hairy pants at his ankle.
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.
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.
Continuity mistake: When Wonder Woman chases after Benson her boots are flat and then the heels appear. It happens again later, while The Falcon tries to reach Professor Warren.
Visible crew/equipment: When Diana and Steve meet with Dr. Barnes at the hospital, they stop in the corridor to discuss the guard's condition, and when they resume walking the actors' T-mark and two tape marks are visible on the floor, where they had been standing.
Continuity mistake: In the first two closeups of Steve's two dollar bill, the serial number on the bill is "A16452841A", but when Diana kisses the bill and leaves a lipstick mark, in the next closeup it's actually a different two dollar bill with serial number "A77148841A."
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).
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.
raywest ★