In the "Making of" featurette, director Tony Scott describes this sequel as a cross between the first movie and 48 Hrs. (1982), which also starred Eddie Murphy.
In the scene at Billy's apartment where both Axel and Billy sing the theme to "The Dating Game", the singing was improvised by Eddie Murphy and Judge Reinhold.
When Rosewood pulls up to the racetrack, both doors on the right side of the car are open. However, in the next shot, we see Taggart exit out of the vehicle from the left side and the door on the right side is now closed.
When Axel and friends are shot at from a Camaro when they come out of the nightclub, the shooters drive two different types of Camaros in different scenes.
While en route to the City Depository, at the construction area, Billy spins the car around and we hear a crash, and Taggart shouting, "Shit!", and then they all jump out of the car as it is totaled. Yet the car does not actually hit anything.