Character mistake: Paul Walker is told of a 240SX with an illegal mod. You then see it is an S15. There was never an S15 240SX. It is a Japanese spec 200SX, chassis code S15.
Visible crew/equipment: When Brian at the end says "don't make me laugh", if you look at the chrome bumper of the green Torino he's leaning on, you can see a member of the crew moving. It's not Toretto as he's on the other side of Brian, and it's not any of the Police as evidenced by the following shot that still shows them to be far away.
Continuity mistake: When Dom slams his black Buick Grand National into the side of the Petroleum tanker to get the coupling to break, the entire side of the car is stoved in, and the rear axle is seriously bent as evidenced by the angle of the back wheel. All subsequent shots, however, show the wheel intact and the damage to the side as slight denting.
Factual error: Dom removes the hose from his nitrous oxide cylinder to fill his car with the gas and then pushes in his cigarette lighter. The fact is that nitrous oxide is not actually flammable on its own. Nitrous oxide is an oxidiser that contains a higher oxygen content than air. This is why it is pumped into engines so that more fuel can also be added to create a stronger explosion. Filling a car with nitrous oxide would not make it explode. You could put a lighter in the car surrounded by the gas and it just mean that the flame would burn brighter - not create an explosion radius of about 5 metres. It is not explosive when introduced to heat. The only way this is true is if the bottle itself was heated up to explosion levels - would be a few hundred degrees as they are pressure tested to significant levels.
Factual error: During the final chase across the desert, Dom fires at several cars, shooting out their tyres, several of those cars then stop dead and the back ends of the those cars lift up and flip over. Those cars might lose control, but it wouldn't cause the back ends of the cars to defy gravity in such a way unless they actually hit something, which they never do.
Continuity mistake: During the start of the chase in the grey Subaru Impreza, its sidelights vary on and off.
Revealing mistake: When Dom and Brian are racing for the job, there is one point where Brian is seen skidding around a corner. There are already skid marks in the exact place Brian skids.
Factual error: "Fast and Furious" [4th film] takes place after "The Fast & the Furious" and before "2 Fast 2 Furious. However there's an R35 Nissan Skyline in the film, which didn't exist at that time.
Suggested correction: Fast and Furious doesn't take place before 2 Fast 2 Furious. The opening sequence takes place before Tokyo Drift, the rest takes place in 2009.
This entire film (as well as the next two after is) take place before the events of "Tokyo Drift." The beginning of this film, taking place in the Dominican Republic, takes place not too long after the events of the first film, probably around the same time as the events of "2 Fast 2 Furious." The rest of the film takes place quite some time after the events of "2 Fast 2 Furious." It is the 7th film that catches up to and continues after the events of "Tokyo Drift."
Revealing mistake: When Paul Walker's Subaru is flipped over by the Torino after emerging from the mine, the propeller shaft linking front and back axles is missing. As both ends are bolted flanges and the car is not compressed lengthwise, this would not happen as part of the crash; it must be deliberate lightening by the film crew.