Visible crew/equipment: When the guy on the roof stands and takes aim at the window in preparation for Brian, the film crew are reflected in a window behind him. (00:13:00)
Continuity mistake: When Vin Diesel sits at the dinner table to eat Chinese take out food, his sister asks him to pray before eating. Vin Diesel takes a gulp of the beer, which starts to foam up and spill. Next shot during prayer, there is no foam on the beer. (01:08:25)
Continuity mistake: After the theft of the tankers, Dom and his gang attend a party where Dom tells Letty that he wants her to quit because it's too dangerous. Watch Letty's right shoulder as it is alternatively bare and covered by her white blouse. (00:10:25)
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.
Continuity mistake: When Brian and the runner fall onto the car, they fall in such a way that their heads are towards the rear of the car. When we see them "inside" the car, their heads are by the steering wheel. (00:13:45)
Continuity mistake: In the final scene Mia is driving an NSX. The aerial disappears and reappears throughout this scene. (01:34:00)
Revealing mistake: At the end when we see all the police arrive, there are tyre marks in the sand where they stopped in previous takes. (01:33:15)
Chosen answer: It's a slightly tricky one to answer because the movie doesn't give very many clues. What we do know for a fact is the events at the start during and up to the conclusion of the Petroleum tanker heists was set before Tokyo Drift as evidenced by Dom speaking to Han with a view to returning back to Tokyo. After that it gets a little fuzzy. Some people claim the entire movie is before Tokyo Drift, but that simply cannot be the case as there are lots of 2008/2009 model cars around the movie, so the general consensus is the very start is before Tokyo Drift, and the time when Dom comes out of travelling/hiding and gets the phone call that Letty is dead is now after Tokyo Drift.
GalahadFairlight
This is not right. The entire movie takes place before "Tokyo Drift", as that is where Han dies. He is still around for the next two films and then dies in the seventh where events catch up with "Tokyo Drift" and then continues where it left off.
Yeah, Han's not dead either, he's back in the 9th movie.