Factual error: The plane that Diana and Steve steal from the Smithsonian appears to be a mix of the fuselage, wings and tail of a Panavia Tornado F3 and the cockpit of an F-111 Aardvark. This class of aircraft has a maximum range of about 1,000 miles, meaning they would never have been able to fly it to Egypt without refuelling. Given that they stole it, it's unlikely they would have been able to call in an offscreen refuel during the flight.
Other mistake: It's amazing the guy whose body Steve is inhabiting gets into the party. Clearly it's VIP and formal dress while he's dressed in casual clothes.
Other mistake: In the first Wonder Woman movie, Queen Hippolyta, Wonder Woman's mother, was adamant that Diana was never to be trained as a warrior, fearing the fact that making her stronger would draw Ares to her (or vice versa), and argues with her sister who was training her in secret when she finds out; this incident happens when Diana is an adolescent. In this movie, a much younger, still child-like Diana takes part (and nearly wins) a contest between the fiercest athletes, involving horseback archery. The Queen should be freaking out and look for whoever put a weapon in her kid's hand, and instead she is perfectly happy, obviously cheering for her and at the end she even gives her a pep talk telling her to look up to...the great warrior Asteria.
Continuity mistake: When the flashback with Asteria is shown she's got hazel or green eyes. In the post credits scene when played by Lynda Carter she's got light blue eyes.
Suggested correction: It should be noted, Lynda Carter played both parts. Those are literally Lynda Carter's eyes we see in the flashback.
Still doesn't explain why they are green in the flashback. Lynda Carter has blue eyes. Probably caused by a color filter.
It could be a lighting issue or the way the armor made her eyes look different, but it's not a mistake since it's the same color eyes. (There are optical illusions that make some people see one color as two different colors based on the surrounding color).
Continuity mistake: After Diana refuses his wish, her wounds understandably heal themselves as her powers return, but the blood on her shoulder and chest also disappears.
Visible crew/equipment: When Wonder Woman's going under the truck during the desert chase, look closely and you can see the mechanic's creeper the actress is lying on.
Continuity mistake: In the mid-credits scene, the 'mysterious' woman holds the falling post and a mom is impressed. She has her hand on the canopy of the stroller, but in the reverse shot her hand is on the baby.
Continuity mistake: After Barbara resigns her powers, she's back to her black dress, but she was wearing brown clothes and boots before she asked for the second wish.
Suggested correction: When Barbara made her second wish, she was wearing a brown jacket with a black shirt underneath it, and she could have removed her jacket prior to transforming into her Cheetah form. After she turns back to a human, you can see that her torn shirt is the same color. Also, while it's out of focus with the sunset in the background, it appears that the skirt she's wearing could be the same cheetah pattern she was wearing when she was fighting Wonder Woman at the White House.