While walking through the DC Metro station, Diana and Steve pass a post that lists the directions to the various lines (identified by the line's color and 2 letters). The Silver Line, which did not open until July of 2014, was on the post.
An assistant brings coffee into the Smithsonian with what appears to be raised plastic latte lids on the cups. More formally known as traveler pucker type coffee cup lids they were not patented until 1986 and did not gain popularity until the 1990s.
When Wonder Woman and Chris Pine fly through the July 4th fireworks in a jet plane, the speed is too slow for a jet with two engines. The minimum speed for a jet is 200 kph and the scene should fly past much faster than this speed.
The color of green of the Presidential VH-3 helicopter in the movie is the modern metallic green that these helicopters were changed to in 2009. The shade of paint they had on them in 1984 was a different shade of green, and was darker and not metallic.
When Diana and Steve arrive at the Smithsonian air museum to steal a plane, the Panavia Tornado jet they steal is first shown with it's correct inline seating configuration from the exterior, but once they climb inside, it switches to a side-by-side seating configuration.
When Diana places the stone back in the box, the crystal is laid on the corner of the box facing Barbara. The shot switches briefly to Diana's face, when it switches back to Barbara the stone is neatly laid in the box facing the other direction.
In the Egypt car chase scene, when Diana says, "I've got this," her red, blue, and gold suit can be seen under her white shirt. In shots leading up to this, her white shirt is open and the suit is clearly not there.
At about 22 min Barbara Minerva drops her briefcase just before meeting Diana Prince who then helps her put the papers back in the briefcase. Barbara closes the briefcase with papers sticking out at the top. As Barbara talks to Diana the briefcase changes positions.
At 1 hour 53 min Barbara throws Wonder Woman (WW) against a large wall painting. WW then falls down and into a table which completely collapses, the painting remained in position and intact. Barbara then leaps into WW and the painting, which had not been touched by anyone, is askew. Also, as both women are fighting against the wall the painting's position actually moved up the wall.
(Around 1 hour 16 minutes) Barbara beats up the guy who attacked her in the park, kicking him into the road where he lands with his feet next to the curb. When Leo recognizes her the fallen rapist is lying in the middle of the road, with his feet nowhere near the curb.
Diana gains the ability to fly under her own power in this film, but in her debut movie, during the fight with Ares, she seems to already have mastered this skill, or at least the ability to 'float' , 'levitate', or 'fall slowly'.
The stuffed cat behind Barbara's lab workstation faces to the right at 23:18.
Then in another scene, the cat is now facing to the left at 29:13.
In a later scene at 39:58, it's facing to the right again.
Near the beginning of the movie, when Barbara is first looking at the artifacts, she mentions into her tape recorder that she is examining 'Item #23' before exclaiming the item she was looking at (the necklace) was not it. Shortly after Diana arrives she finds said item (The Dreamstone) only for it to be labeled 'Item #:24'.
One scene shows a passenger plane landing at National Airport between the Lincoln Memorial and the Washington Monument. All commercial flights fly directly over the Potomac River and would only be seen west of (behind) the Lincoln Memorial, never east (in front of).
Modern fighter aircraft take hours to prepare for flight, and are not left fully fueled on museum runways. This plane, which appears to be "based on" the British Tornado strike jet, could not make it to Cairo from Washington DC without refueling. Lastly, modern military aircraft take months, if not years, of training to operate.
Steve Trevor possessed substantial knowledge about jets considering he died in 1918 and the first jet engine wasn't invented until 10 years later and the first jet plane another 10 years after that but they just had to make that scene work somehow. This might have made more sense if he had actually fought during WW2 instead of WW1 like he did in the comics and TV series. Also the maximum range for any fighter jet ever built was the US F-15 Eagle @ 5,500 km and the distance between DC and Cairo is 9,400 km however both Steve and Diana flew that distance round-trip in a jet without refueling.
At the gala, the song Welcome to the Pleasuredome by Frankie Goes to Hollywood is played. This song was released on October 29, 1984 as part of the album Welcome to the Pleasuredome and only released as a single on March 18, 1985. But more importantly, the gala takes place before they travel to Egypt, on the 4th of July, almost four months before the release of the album.
Diana looks up at 19:39 and 47:43 to see an airplane flying. The aircraft navigation lights are on the wrong wingtip positions. The red light should be on the left side wing and green on the right side.
In Justice League (2017) Bruce chides Diana for withdrawing from the world following World War I. Leaving aside the absurdity that she would sit out a second worldwide conflict, it is inconceivable that the events of this film would utterly vanish from the public memory in just 33 years.
At 1:09 Diana uses her magic to make the plane invisible so it can't be detected by radar. However, radar is a detection system that uses radio waves to detect objects. Invisibility alone would not make an object undetectable by radar. To be undetectable by radar, an object would need to be intangible. However, this is not necessarily true. Radar works by use of radio waves being transmitted and bounced back to the point of transmission at the speed of light. Visible light waves work on the same principle, and are bounced off objects so that we can see them with our eyes. Both radio waves and visible light waves are part of the electromagnetic spectrum. Diana makes the plane invisible by using her powers to somehow allow light waves to pass through it, thus making it appear "transparent". There's no reason to doubt her powers could have had the same effect on radio waves too.
When Diana explains the origin of the Golden Armor to Steve, she tells him that it belonged to the greatest Amazonian warrior Asteria, but in Wonder Woman Hippolyta refers to Antiope as the greatest Amazonian warrior. This accolade is understandable, given the Amazon's belief that Asteria died protecting their escape to Themyscira, leaving Antiope as the new 'greatest' warrior.