Fausta, the Nazi Wonder Woman - S1-E3
Continuity mistake: After Wonder Woman is kidnapped, Steve commandeers a taxicab which has damage on its roof, but when Steve is driving the cab there's a black cloth taped to its roof covering the damage.
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
Continuity mistake: The ladder Tommy is standing on is coming loose from the wall it's attached to, and in the closeups we see the holes in the wall, but in the wideshots the wall is completely undamaged.
Wonder Woman Meets Baroness Von Gunther - S1-E2
Continuity mistake: When Wonder Woman calls the Dept of Motor Vehicles disguised as General Blankenship, the woman who answers the phone has long polished fingernails, but in the closeup of her going through the file box the fingernails we see are quite short and unpolished (looks like a man's hand).
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.
Formula 407 - S1-E12
Continuity mistake: After Diana sidesteps Antonio's advances, when Wonder Woman rushes off to save Steve she's grabbed by one of the Nazis who holds a chloroformed handkerchief to her face with his right hand, but in the closeup it's in his left hand, and then it's back in his right hand.
Continuity mistake: When Wotan and the other two Nazis arrive in the rubber boat, during the scuffle Steve is wearing boots, but his stunt double is wearing completely different shoes.
Continuity mistake: When Steve and Diana are off the coast of Virginia, they share binoculars to watch for three men coming ashore in a rubber boat, and when Steve raises the binoculars to his eyes the lenses are either extremely cloudy or the lens caps are on (it reflects no light), but in the following shot when Steve lowers the binoculars the lenses are perfectly normal. Then when Steve hands Diana the binoculars the lenses are still normal, but in the following shot when Diana lowers them it's once again extremely cloudy or the lens caps are on.
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.
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.
The Feminum Mystique: Part 2 - S1-E6
Continuity mistake: While Nazis are invading Paradise Island, back at the deserted warehouse when one of the Nazis brings Drusilla a hot meal he slams the door shut, but when Drusilla hits him in the stomach the door is suddenly wide open, but when she rushes out of the room the door is closed and she pushes it open.
The Feminum Mystique: Part 1 - S1-E5
Continuity mistake: When Diana comes home and spins into Wonder Woman there's a plant on the table under the mirror, but when she walks out of the kitchen with Drusilla that plant is on the floor. Then, note the only thing atop the hutch is a crystal basket, but when she changes back to Diana Prince two more large items are atop the hutch, now the plant is back on the table, and a tall lamp has suddenly appeared beside the chair.
Mind Stealers from Outer Space: Part 1 - S2-E10
Continuity mistake: The doctor's arms change positions, and holds a stethoscope that disappears and reappears as he speaks with Diana Prince.
Fausta, the Nazi Wonder Woman - S1-E3
Continuity mistake: When Diana chases after Horst she changes into Wonder Woman and her boots have heels, but when she lassos Horst the heels vanish and the boots are now flats.
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.
Continuity mistake: Throughout the show Wonder Woman goes from wearing heeled boots to flats, most notably when she does her leaps.
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.
Fausta, the Nazi Wonder Woman - S1-E3
Continuity mistake: Wonder Woman reveals her belt gives her superhuman strength. In the scene where she is strapped to a board, the Nazi officer throws the belt and lasso at Wonder Woman, but she only catches the lasso. Wonder Woman still regains her strength though and breaks free of the straps. In the next shot however, she is holding both the lasso and the belt.
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.
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."