After selecting Rollin for this mission, Phelps uses his left hand to toss his file on the table. The next shot shows the file leaving Phelp's right hand.
The special square pill becomes larger and flatter when Cinnamon takes it from the bottle. It's smaller and thicker when seen elsewhere.
When Golmalk and Kramer are looking at the inside of the IMF "van", Golmalk is not wearing his beret. But in the very next scene when the IMF team is wheeling out the "bomb", Golmalk is wearing his beret.
When Dr. Levya is tending to Phelps' arm after Barney's faux assassination attempt, he tells him his coat suffered more damage than his arm. But during subsequent scenes, Phelps' sport coat sleeve is undamaged.
Professor Bennett is described as a "Nobel Prize-winning archeologist". There is no such prize in that field, and none of the existing fields (physics, chemistry, medicine, literature, peace, economics) are likely to allow for a crossover.
When reducing the body temperature of the surgery patient, his temperature is shown on a gauge in Fahrenheit, reducing to 64 degrees. Since this was in an eastern European country, it should have been in Celsius, and 64 would have been far too high for a body temperature.
The end scenes, where Phelps and Rollin get in a taxi shows a Classic English Taxi, complete with right hand drive. The rest of the country appears to be left hand drive. It is unlikely that they would licence an old battered London Taxi with right hand drive for general taxi work.
During the surgery, Rollin has a hand-held device that can be used to manipulate the display on the heart rate monitor and fool the surgeon into thinking the patient is fibrillating. However, whenever the patient supposedly goes into fibrillation, the close-up of the monitor shows the rhythm is still normal.
The grate in the photo booth has a series of identically round holes cut into it. After listening to the tape, Phelps closes and locks the grate. A camera cuts to the smoking tape recorder behind a grate with different designs and larger openings.
As the president leaves Jim at the hospital after he was shot by Barney, as he steps into elevator one can see that the floor is continuous with no break, revealing it is not a real elevator as there would be no way for it to move.
During the heart surgery scene, the shot of the nurse handing a scalpel to the doctor is used twice.
The British taxi seen at the end (a Beardmore Mk7 Paramount, built between 1954 and 1966), registration number RYN 946, was also seen with the same plates in the first series episode "Shock", set in a different fictional country. Then it had two number plates (fake ones fitted by the filmmakers and what appear to be the original UK ones) but here it just has British plates.
In the opening sequence, Phelps drives to where he is to get his assignment. A camera records his face in close-up as he drives. It is apparently a hand-held camera as it follows him as he gets out of the car and goes into the building without cutting away. As he nears the building, the car is seen reflected in a window and a mat or platform can be seen on the hood of the car where the cameraman lay while the car was moving.
When Cinnamon is taken by the Property Officer into the elevator, the shadow of the camera is visible on the elevator door.
During a heart operation, someone (let alone several people) would not be allowed to enter the theatre without first scrubbing or wearing a mask. Similarly, no modern operating theatre would be only one freely-swinging door away from a busy corridor.