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.
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).
Fausta, the Nazi Wonder Woman - S1-E3
Continuity mistake: When Fausta helps Wonder Woman and Steve escape, they climb the rope out of the water. Steve's pants are obviously wet as he's climbing the rope. However, when he climbs over the side of the well, the camera angle changes and his pants are magically dry.
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.
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.
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.
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.
The Feminum Mystique: Part 1 - S1-E5
Continuity mistake: When Drusilla changes into Wonder Girl for the first time, if you look at the ground while she's changing, you can see the leaves instantly change positions all around her.
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.
The Feminum Mystique: Part 2 - S1-E6
Continuity mistake: When Wonder Woman is spinning the XPJ-1 around, she's seen approaching the jet with her hands empty and her lasso on her side where it usually is. As the scene progresses, her golden lasso magically appears in her right hand even though she never reached down to pick it up.
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.
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
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
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
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.
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.
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."