Continuity mistake: In the photo booth scene, Face gives Sosa a phone. Later on, after Hannibal had made a call to Sosa to set up a meeting, Sosa sees an incoming phone call from Face, on the phone presumably given by Face. That phone is a Nokia E71, which is a normal candybar phone. But when she receives the call, the candybar phone suddenly becomes a slider phone.
Other mistake: Towards the end when we see one of the $100 bill plates up close, the plate is not of any money ever put into production in the US. While I know most movies do not try and use actual money, there are things that don't match how real money is made: serial numbers are not on the plates, circle around Ben's head doesn't go to the border, "The United States of America" is missing above the "100" on the left, just to name a few.
Factual error: During the Frankfurt scenes, a lot of cars have a license plate starting with "FF"; eg. FF - AB 1234. FF stands for the eastern German "Frankfurt/Oder" (Frankfurt at the Oder River) and NOT for the west German Frankfurt/Main (Frankfurt at the Main River) where the financial district and the large airport is. There is a distance of 470 kilometers (292 miles) between those cities.
Continuity mistake: After Hannibal rescues Murdoch from a psychiatric ward, they are escaping in a military van. Sosa fires several shots at the vehicle and sparks start emerging from the left rear wheel. In the next shot, as the van approaches an airplane, the sparks are now emerging from the rear wheel, then when the vehicle stops no tyres are flat.
Revealing mistake: When the 2nd BMW SUV is blown up on the dock, you can see the underside of the vehicle which reveals how they removed the drive shaft to help reduce the weight of it in order to flip it easier. There are also 2 jets of white gas seen coming from 2 pipes under the rear bumper which are what launched the vehicle end over end.
Factual error: The action with the C-130 in the air is supposed to be near Mannheim, Germany but there is nowhere near a landscape with forests and lakes like shown after their "landing" in the tank and during/after the AC-130 attack. Certainly not with large shipping vessels as depicted (guess this is somewhere around Vancouver, BC).
Continuity mistake: When Hannibal is put inside the crematorium oven, the door at his feet closes like a steel blind, with one blade going down over the first blade, to create a double door. However, when Hannibal opens it by kicking the door with his feet, the door opens upwards like a crappy trap door. If it were a back door he should have opened it with his head. There was no space for him to turn around 180º.
Factual error: The A-Team's highjacked C-130 is said to have been shot down near Mannheim in Baden-Württemberg County, Germany. Yet, the agents later claim that Murdock drove the tank out of the Wolgastsee, asking a local woman for the way to Berlin. The Wolgastsee is on the island of Usedom in Mecklenburg-Vorpommern County - some 400 to 450 miles away from Mannheim.
Audio problem: In the helicopter chase scene, when the A-Team is about to be shot down by heat seeking missiles, Murdock shuts the helicopter's engine off. When he restarts engine the sound is that of an radial piston engine starting, not the sounds of a jet turbine like it should be.
Continuity mistake: In the Extended Version, after Sosa is handcuffed to the photo booth and Face takes off, they show her trying to undo the handcuffs, but the other end of the cuff is no longer attached to the rail. When they come back to her after showing Face leave, she is once again handcuffed to the rail.
Continuity mistake: BA drives the van and brakes to avoid running Hannibal over, who's 5 meters ahead. However, when the angle changes, the van keeps skidding for at least 50 meters. Then BA pulls over and Hannibal is not only a meter away, but manages to appear next to the driver's window in less than a nano second.
Other mistake: When Pike chases after BA by rappelling down (using his suit jacket and hand to do so), he uses the same rope Hannibal used to get into the building. Hannibal is seen with a rope bag and when he escapes into the building several stories below, he is seen unhooking but not throwing the bag out the window. Unless that had happened, Pike wouldn't have been able to use the rope to descend to the sidewalk.