When we are first introduced to Auroa, you can see she has her tongue pierced with a gold barbell in a couple of close-ups when she is talking. Her character would obviously not have had her tongue pierced for many reasons, not the least being she has never ventured out into the world. In later shots, the piercing is no longer there.
After destroying the last two Range Rovers at the end, Toorop's left ankle is clearly visible. His leg must have grown back in the time it took to drive to find Aurora as it was a metal prosthesis in Darquandier's lab.
The location of the monastery is initially given as Mongolia but later, in the news report in the apartment in New York, it is said to be Kyrgyzstan, which would match with the coordinates given early on in the movie. Mongolia and Kyrgyzstan are separated by a 600 mile wide section of China.
When Toorop is being picked up by Gorsky's men in the beginning, he grabs his backpack. In one shot he carries it in his hand, next shot - it's on his back, then back in his hand and when he walks into the hallway it's back on his back.
Immediately after Toorop fires his gun into the air in the crowd of vehicle traffic when he, Sister Rebeka and Aurora are leaning against the car the phone earpiece is in Toorop's right ear. In the next shot where Toorpo looks to the subway the phone earpiece is gone.
When Toorop is checking his interactive map after picking up Aurora at the convent, it shows the Bering Strait separating Russian and Canadian territory. It should separate Russian and American territory. If Toorop could have gone directly from Russia to America, he wouldn't need an implantable passport. It's possible, in this future, that Alaska is part of Canada, but no one mentions that.
The Noelite Convent appears for the first time with the location 41°10'N and 74°46'E, identified as Mongolia. According to Google Earth, that location is a mountain in Kyrgyzstan, more than 1000 km from the Mongolian border.
While it was correctly noted that Troitsk was at 54°06'N and 61°34'E on the screen, the camera that tracked the trio in the marketplace showed the coordinates of 54°32'N and 18°18'E, which is farmland northwest of Gdansk in Poland.
In the Bering Strait when drones were firing upon them, an electric minigun fired on them briefly. The cyclic rate and sound were that of a conventional machine gun with a much slower cyclic rate, not the 6,000 rounds per minute of a minigun.
When the fight is about to begin there are 4 screens displaying the countdown and the words "Ready, Fight" in English, Japanese, Russian and Arabic. However, the Arabic words appear to be translated using some free online translation services because the words seem out of syntax, incomplete, and the letters are not joined together which is wrong since Arabic is a script.
The "mirror" at the hotel where Toorop showers is a monitor showing a live feed, and lags a little behind the actions he makes...except when it "lags" ahead, revealing that the image is prerecorded and not live.
Despite Toorop's ranch house having been abandoned for years, with trees fallen on top of it and so on, the timbers are all very clean and dry when they should be covered in lichen and mosses and in fairly advanced stages of decomposition.