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).