Factual error: In the car chase, the SWAT truck throws cars in a traffic jam upwards and to left and right, as if it had a large, pointed snowplough type structure mounted to its front bumper. The front of the truck is squared off and blunt - it would just shorten the car in front - as some of us know from tail-ending experience.
Suggested correction: The truck was moving at high speed, which would have applied a large amount of momentum on the bunch of cars in front of it. I agree that the destruction is a little exaggerated, but it is possible for a car to be sent flying in some direction when an armored vehicle rams it at high speed.
Character mistake: During the Athens scene, Dewey says "It's David Bourne. Clear to engage the target" mixing up David Webb and Jason Bourne's names. (00:00:22)
Suggested correction: He says "Stay with Bourne." The two had split up and he wanted Jason followed.
