The beginning of the movie shows exterior scenes of a 747-400 which is correct because the cockpit scenes are 747-400. However, the rest of the movie shows exterior shots of a 747-100 or 747-200.
When the plane landed, two engines were visible hanging on the left wing, when one of them was apparently shot by the air-to-air rocket and exploded.
Regular cell phones cannot place or receive calls while a plane is over the Atlantic Ocean.
While in the Frankfurt Germany airport, there are Southwest Airline planes visible from the window (Southwest doesn't fly international routes).
In the beginning of the movie, the plane is supposed to be at Frankfurt airport. The airport shots clearly show the new Munich airport with its unique and distinctive tower.
When Dr. Sanders and Agent Ellis are speaking with the doctor to get them in to see the President, mountains can be seen in the background. There are no mountains visible from Washington D.C.
The tail number on the German helicopter chasing the infected man at the beginning of the film is American not German.
If the virus was as contagious as everyone believed, the airport through which the infected man ran, and all flights that left it would need to be quarantined as well.