The BMW 740d in the car chase is a diesel, but the sounds coming from it are that of a petrol car. Very noticeable when it revs.
The 4- or 3-Series later on in the film is a petrol, but has been given a V8-sounding note, which it doesn't have.
When Susan Cooper steals a moped she is wearing black stilettos. However when she tries to jump from the ramp and the moped lands in the bed of wet concrete the camera angle from the waist down shows she is wearing a pair of flat black shoes obviously indicating where the stunt performer has been substituted for Melissa McCarthy. As the camera cuts back to a medium shot of McCarthy driving through the concrete the stiletto's then reappear.
When on the plane, the amount of wine in the glass held by Susan goes up and down and back up between shots. When the camera is facing Susan, its visible that the amount of wine left in the glass is quite low. But when it faces Rayna immediately afterwards, its visible that the glass held by Susan has a full glass of wine, just as Rayna.
On arrival in Paris Susan takes a taxi journey past a number of Paris landmarks. That journey would take well over an hour in quiet traffic yet the taxi meter only reads 8.60 Euros on arrival at the hotel.
When Susan arrives at Fiumicino (Rome's international airport) a LAN Airlines (from Chile) Airbus A320 is shown to be landing. Not only LAN doesn't fly to Rome, but the aircraft is incapable of making a trip from deep South America to Europe.
When Susan and Sergio are shown flying the Eurocopter helicopter, the aircraft is shown responding to them manipulating the "stick" (the cyclic), as if it were a conventional fixed-wing aircraft. The controls work entirely differently in a helicopter than in an airplane. When the helicopter begins to dive towards the lake for instance, Susan is shown pulling back on the cyclic. Doing this would result in a substantial climb in an airplane, but is not what primarily makes a helicopter climb. The cyclic moves the helicopter in a direction - forwards, backwards and to the side. The collective (the control on the left side of the seat that the pilot moves up and down), changes the pitch of the main rotor blades and create lift. To stop the descent, Susan should pull up on the collective. The helicopter doesn't react appropriately to any of the control movements we see either of them do.
Hungarian license plates are invalid. During the assassination attempt on Rayna in Budapest the red car's plate is 6SE-486, the BMW's is 8GA-601 and the scooter's is 8ZE-657. They are Hungarian plates, as the 'H' country code is clearly visible. However, normal Hungarian license plates are in the form of 3 letter - 3 numbers. Custom and special plates can have other formats, but in any case they never begin with a number.
While working under cover, CIA agent Susan Cooper saves the life of a fellow agent from an exploding backpack that had been switched by a bad guy. This action attracts unwanted attention resulting in the bad guy taking a photograph of Cooper that could expose her secret agent identity. As the bad guy runs away, Cooper runs after him. At one point during the chase, Cooper pulls out her semi-automatic pistol. After Cooper loses sight of him, he surprises her by jumping out from a hiding spot and knocks her to the ground. Standing over her, he points a knife at her. She then points her semi-automatic pistol at him. After noticing that the magazine from her gun has fallen out on the ground, he informs her of this as he continues to threaten her with his knife. Cooper then resorts to kicking him instead of firing her weapon. I believe this was a factual mistake. A properly trained law enforcement officer would make sure that their weapon was ready to fire when they are about to confront any threat. For a semi-automatic weapon, this means that the safety is deactivated and a round is chambered. To chamber a round, with a loaded magazine inserted into the weapon's handle, the slide is pulled back and then released. This loads the top round from the magazine into the weapon's barrel thereby allowing this single bullet to be fired even if the magazine is removed or falls out. Cooper should have used this knowledge to her advantage. Not performing these preparatory actions would give any threat a clear advantage in a sudden shooting encounter.
When Cooper and Aldo are tied up, Cooper asks Aldo to untie her hands. As she moves her body around, she puts her left hand on the floor to stabilize herself. Then she puts the arm back up behind her back as if it is tied.