Continuity mistake: Wonder Woman stops a tank with its tracks moving, but when the shot changes, they're still despite the motor running. This swaps back and forth.
The Murderous Missile - S2-E22
Continuity mistake: When George falls off his motorcycle, his pants are wet and covered in mud. When Wonder Woman catches him, they're dry and clean.
Continuity mistake: When Trevor holds the photo, there's nothing behind. In further shots, an envelope has appeared.
Continuity mistake: Trevor holds the Polaroid with his left hand, but in the wide angle, he holds it with both hands.
Continuity mistake: The first ambassador is given 3 Polaroids; he drops one on the road and enters the car where he now has the same 3 photos again. Then in the close-up, he only has two; the one he dropped is missing, but a shot later he's got all 3 again.
Continuity mistake: By the car, the first ambassador holds the three polaroids in a fan-like manner, but a shot later they're stacked. This swaps back and forth.
Continuity mistake: At the party, when the first ambassador watches the photo of him and his dead wife, the number of hands he holds it with swaps between shots. (00:01:40)
Continuity mistake: When Wonder Woman runs around the rooftops, the sky is cloudy and grey. When she jumps off to the ground, it's sunny. Then she lands, and it's back to cloudy.
Continuity mistake: When Diana exits the dark room, an officer immediately enters to check. A yellow tray suddenly appears, plus a big photograph on the right.
Continuity mistake: When Diana opens the door, there's just a man cleaning the floor several metres ahead. A shot later, a man is rushing behind her. (00:04:50)
Continuity mistake: When the bad guy brings the suitcase to the control room, the time on the timer behind him jumps forward and backwards between shots; no continuity. (00:05:30)
Continuity mistake: Diana puts the seatbelt on the robot. A shot later, it's gone.
Continuity mistake: Before Wonder Woman jumps on the bad guy, he runs past a rectangular lid on the ground. When she catches him, he is metres behind, next to the rectangular lid again.
The Queen and the Thief - S2-E7
Continuity mistake: When Wonder Woman is hanging upside down, her hair is either tucked in the close-ups showing the real actress, or falling downwards and messed up in those wide angles involving the stunt woman.
Continuity mistake: Inside the vault, when Diana spins into Wonder Woman, there's a golden picture frame on the left. When she has changed, the frame is gone.
Continuity mistake: Diana spins around inside the boat, but when she transforms into Wonder Woman, she's inside a white room. Then she keeps spinning into her wetsuit, and she's now back in the boat.
Continuity mistake: Wonder Woman throws her boomerang tiara, which falls down half a metre ahead. The shot changes and it's now flying up in the air for over 10 metres.
Continuity mistake: When Wonder Woman spins around and transforms herself, the sunlight swaps from dark to bright.
Continuity mistake: When Wonder Woman jumps from the rooftop down to the floor, the wall swaps between being lit by the sun and being in the shadows. (00:06:40)
Mind Stealers from Outer Space: Part 2 - S2-E11
Continuity mistake: After Skrill dies, the damage on the broken log on the left and its position change between instant cuts.
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."