The Feminum Mystique: Part 1 - S1-E5
Visible crew/equipment: After one of the Nazis jumps into the cockpit of the XPJ-1 Diana spins into Wonder Woman, and in the closeup of Wonder Woman deflecting the MP's bullets, one of the wired remotes that control her bracelets' sparks can be seen in her right hand.
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 in Hollywood - S1-E14
Factual error: Wonder Woman is flying to Hollywood, and the iconic sign is shown. However, in the early 1940's (when this season is set), the sign read 'Hollywoodland'.
Judgment from Outer Space: Part 1 - S1-E10
Continuity mistake: When Wonder Woman is about to enter the spaceship, we see a close-up of Wonder Woman's lips because she whistles the tune that opens the ship's door. At the beginning of the next episode (which takes place a few minutes later in the story's timeline), we see another close-up of Wonder Woman's lips. This time, she's wearing lipstick, although she hasn't had time to put any on.
Wonder Woman Meets Baroness Von Gunther - S1-E2
Continuity mistake: Wonder Woman runs to save Tommy and heads toward a yellow bollard. The shot cuts to Tommy crying for help, but when it returns to Wonder Woman, she's several metres behind, once again running toward the yellow bollard.
Formula 407 - S1-E12
Revealing mistake: When Wonder Woman catches the first grenade and tosses it away, it falls 20 centimetres to the left of where the explosion takes place. If you watch carefully, you'll notice glittering sand where the explosion occurs, revealing where the powder was.
The Feminum Mystique: Part 1 - S1-E5
Continuity mistake: At the air base, Wonder Woman deflects the bullets, standing against a grey warehouse door. In the close-up, she is in a studio against a blue background.
Judgment from Outer Space: Part 2 - S1-E11
Other mistake: The aliens send their beams to destroy the building from different places; however, on the wide angle, all the beams come from the same spot and are parallel to each other.
Judgment from Outer Space: Part 2 - S1-E11
Continuity mistake: When Trevor is surrounded by Nazis, Wonder Woman stands in front of him and jumps towards him. The shot changes and she is falling from the ceiling above.
Formula 407 - S1-E12
Continuity mistake: The kidnapper's blue handkerchief swaps hands between shots.
Judgment from Outer Space: Part 2 - S1-E11
Other mistake: The scene of two Nazis walking down a corridor is reused: the first time at timecode 00:38:49 and the second at 00:40:36 and 00:40:44.
Other mistake: When Wonder Woman is chasing the sniper, her jumps are the same scenes of her escaping the girls’ dorm from S1E4, timecode 00:26:34. (00:16:14)
Wonder Woman Meets Baroness Von Gunther - S1-E2
Other mistake: At timecode 00:16:22, Tommy moves the wooden crates and planks around to find the hidden entrance. At timecode 00:32:03, the scene is repeated. (00:16:22 - 00:32:03)
Fausta, the Nazi Wonder Woman - S1-E3
Factual error: The map of Europe has the 1970s countries and borders; it is not a World War II map.
Wonder Woman in Hollywood - S1-E14
Continuity mistake: When Drusilla spins into Wonder Girl at the coffee shop, the window behind swaps between closed and open.
Wonder Woman in Hollywood - S1-E14
Continuity mistake: When the bad guys leave Jim Ames on the floor, his hat changes position between shots.
Wonder Woman in Hollywood - S1-E14
Visible crew/equipment: When Gloria Beverly arrives at the studio, the boom mic is reflected on her car.
Formula 407 - S1-E12
Revealing mistake: During the fight in the lab, Trevor's stunt is noticeable.
Formula 407 - S1-E12
Continuity mistake: When about to be put to sleep, Wonder Woman grabs her kidnapper's wrist, but an instant cut later, she is grabbing his hand. (00:23:42)
Formula 407 - S1-E12
Continuity mistake: When Wonder Woman is put to sleep with a cloth on her face, she turns her head to the right. A shot later, she is looking ahead.
Answer: Yes, on the first episode of season 2, she is shown on the island, when another plane crash lands, she says, "They sound different from WW II". Later in the same episode a woman gathers background information on Wonder Woman. The woman says, "From 1942 to 1945, she helped the Allies win the war."