When the girls are in the apartment in France, they turn the music up loud so they do not hear Kim's mobile phone ring. When the camera pans over to her handbag, the phone is ringing, but "Silent" mode is selected.
When Bryan drives to Lenore's house just after the call from his daughter, he talks with Sam on his cell phone and tells him that he's "downloading" something that needs to be analyzed. Downloading is the transferring of data from a remote computer to a local device. He should have said "uploading", since he's transmitting something from his recorder to Sam.
Bryan records Kim's call until Marco picks up the phone, at which point Bryan unplugs a stereo cable, stands up, and issues a threat. Marco says, "Good Luck." Neither Bryan's threat nor Marco's response were recorded. However, Bryan is later seen on a jet replaying a recording of Marco saying, "Good luck."
When Amanda was taking a photo, the camera phone was held in the landscape position, but when Peter was taking the photo for them, he held it in the portrait position. Later, when Bryan was reviewing the photos, all the photos were in the landscape position, including the one supposedly taken by Peter.
When Bryan listens to the recording of his daughter on the airplane, the recording starts when his daughter says "They've got her", which would have been when his daughter was in the bathroom. Bryan originally started the recording after his daughter was under the bed in the bedroom, so the recording wouldn't include that part. It also would've recorded Bryan's voice, which was not on the recording.
After Bryan Mills saves the girl from the construction area brothel, he drives away in a white SUV. The pursuing bad guys shoot out the back window. The same window is intact in several following scenes.
When Bryan's daughter calls him just before getting kidnapped, she describes the man as having a beard. When Bryan hears this recording on the plane, it's changed to mustache, and again in a later scene when Bryan is listening to the recording it's beard.
At the end of the phone call during the kidnapping, the kidnapper (Marko) says, "Good-luck." Bryan is holding his cell phone to his ear with no wires attached, but later while on the plane, Bryan listens to the "Good-Luck" over and over. That would not have been possible since his cell phone was not attached to the reorder when that was said.
When Bryan Mills tries to enter the apartment in Paris where his daughter was kidnapped, he uses a brown paper bag with groceries to appear a resident. These paper bags are typically American and not to be found in supermarkets in Paris, or most other parts of Europe.
When Bryan is in the apartment of his friend the corrupt French policeman, they use the policeman's computer to check on the identity of St-Clair, the man who is auctioning Brian's daughter. The computer is shown as having a QWERTY keyboard which is not the type used in France. It should be an AZERTY layout which is the type used in France.
Some men at the construction site wear hard hats that are not available or permitted in France. But seeing how the site is also the place for some VERY illegal trafficking-, narcotics- and prostitution crimes, it is not unlikely the men working there were also criminals and/or illegal immigrant workers who had brought their own equipment.
Bryan's only lead on Staint-Clair is the address 26 St Louis en l'Ile, Paris, obtained when Jean-Claude searches for him in the database. However, the mansion where the party is hosted is not the same building located at that address, as can be confirmed by a Google Maps Street-level search.
At LAX, Brian discovers the map and drops his daughter off on the arrival level, even though her flight is departing for Paris. You can see they are on the lower level, which is the arrival level at LAX.
Bryan is told that the kidnappers do business in Yugoslavia. The Republic of Yugoslavia broke into much smaller countries in the early 1990s, but "Yugoslavia" is still a common name for the region. This actually is not true. Region of the former Yugoslavia countries is called "Balkan". The term "part of Yugoslavia region" is actually very offensive after 1995 and end of Civil Wars.
When Bryan listens to the mobile phone and the call ends, the audio sounds like a home phone cutting off, not a mobile. It's actually the sound of the phone being smashed. Later, the phone is discovered smashed.
When Bryan attacks the construction site, no one knows what he looks like, yet they know who to shoot. They could know each other by sight. Bryan, who is several inches taller, with much fairer skin and hair, stands out as someone who shouldn't be there.
When Bryan leaves Marko with electricity running through him, Marko screams with his mouth open. The electricity would force his mouth to close. This is why Bryan puts the handkerchief in his mouth earlier, so that he did not bite his tongue or push his teeth, allowing him to answer questions.
When Bryan finally finds his daughter being auctioned off, she is heavily sedated; her facial features are relaxed and her orientation is off. When she is saved minutes later, she is completely aware of what is going on and the drugs have worn off, unlike the girl Bryan rescued before. Saint Clair didn't use the same drugs Marko used to sedate his girls. His clients didn't want their girls sweaty and unresponsive, like the girls in the trailer. It's entirely possible that Kim recovered to the point of recognizing her father by the time she was rescued.
Early in the movie, Sheerah's vocal coach, Gio, is presumably the black man rehearsing with her before she goes onstage at a concert. At the end of movie, given the implied context of the visit to see Sheerah, the person at the piano is not the same man. He may be an accompanist. Since the whole house isn't visible from the front door, Gio could easily be somewhere off-camera.
When Bryan chases Peter up the ramp, he turns into heavy traffic with squealing tires. After Peter dies, Brian walks on the highway near the cars. The highway is a virtual parking lot, with empty cars, no noise and no brake lights, as you would see in a traffic jam.