Revealing mistake: When we see Shaw climb into the tank we see a shot of him outside the tank that's on the back of a lorry travelling at speed. In this shot, the background is not moving. (01:22:40)
Continuity mistake: When the lorry hits the wire, it raises up at the back of the tractor unit and start of trailer. Camera cuts to a different angle and it raises up again. (01:23:00)
Continuity mistake: When Shaw orders the driver to take the tank to the other side, the tank swerves to the left and just as the camera changes you can see the tracks stop. In the next shot though it is still traveling at speed. (01:26:00)
Continuity mistake: During the scene where the cable is shot into the sides of the cliffs to stop the convoy, there are no civilians in the area. As soon as the convoy hits the cable and stops, you can see two normal cars just feet away from it. Not only were the cars never there before, but they would have also gotten stopped by the cable. (01:27:00)
Revealing mistake: When we see Rome's car being pushed by the tank there is a shot from inside Rome's car looking forward. In this shot you can see tyre marks from previous takes on the road. (01:27:25)
Continuity mistake: During Brian's jump over the bridge debris, the Ford leans forward pretty far and is still rolling forward by the time the shot cuts. When he touches down, the angle of the car is a lot less steep. (01:28:00)
Plot hole: When they have to let Shaw walk out with the chip because he has Brian's family hostage, he walks past all those soldiers and drives out of the base. He tries to use his phone but the crew blocks all signals in the area so they can chase him. We cut back to everyone in the army base and the army have just disappeared, leaving it up to the team to chase Shaw down a runway alone. (01:39:30 - 01:40:50)
Continuity mistake: Shaw parks his Mercedes on the left side of the plane facing forward. Dom then comes in and parks his Charger on the right of the Mercedes, also facing forwards. But when Shaw wants to drive out of there, the Mercedes is now facing backwards, and it and the Charger have switched sides. Now the cars did move around a little when the plane was leaning, but this does not explain how the Charger would have moved "uphill". (01:43:15 - 01:53:00)
Continuity mistake: Han's Charger gets pretty badly damaged during the chase over the runway - especially when he hits it up against the Range Rover with Shaw's guys in it. Yet at the end of the chase, it doesn't even have so much as a scratch. (01:47:55 - 01:54:15)
Continuity mistake: During the chase scene on the bridge involving the tank, two cars (silver Toyota Corolla hatchback, licence NE34 12 and a black VW Bora, licence NU67 67) appear during many shots, often travelling in different directions on the bridge and either ahead or behind the chase.
Factual error: Hobbs would not be able to walk around London with a holstered gun on show, despite his position in the USA.
Factual error: The runway action sequence is 13 minutes. Allowing for some events happening simultaneously, different angles, etc., it's about 9 minutes of "real" time. Given the speeds on the runway are high enough for the plane to take off / land (~120mph at the very minimum), that makes the runway about 18 miles long, not remotely feasible. Even half that length would be too much by far. The longest runway in the world is much less than 4 miles.
Continuity mistake: During the runway scene, Shaw's vehicle is seen fitted with HID type headlights (bluish tinge). Yet during the sweeping wide angle shots and when Shaw drives into the cargo plane, the lights are a standard yellow.
Other mistake: Dom drives his Dodge Charger out of the Antonov's cargo hold - which is filled with, well, cargo - through the nose of the plane which was already on fire while he was still in it - and yet there isn't a single dent on his car before he loses control and rolls it.
Continuity mistake: In scenes showing how Letty survived the explosion it shows her crawling out of the car then getting blown down the hill, but in Fast and Furious she is still in the car when Phoenix shoots it, causing the explosion, so she couldn't have been blown down the hill.
Factual error: Brian mentions that the engines in Shaw's flipcars sound like the engines you hear at Le Mans, turbo diesels. These cars have over 500 horsepower and are capable of reaching speeds upwards of 250 miles an hour. They also weigh less than one ton. Shaw's cars seem to meet all these demands: massive power and torque, no body fat and very fast. But here is also a problem: Dom is easily able to keep up in a factory-tuned BMW, which would be nearly twice as heavy, and Hobbs is able to keep up in his "four-wheeled tank", which would be thrice the weight, with even less power. There is no way that an extremely good driver like Shaw wouldn't be able to lose them with such an advantage in terms of power to weight ratios.
Factual error: When Mia changes gear to pull the Antonov down, she moves the gear lever straight down, then straight up again, meaning she would end up in the same gear.
Continuity mistake: When Riley and Gisele are about to talk with the blonde guy who makes the gadget for Shaw, Riley moves her hands between shots.
Continuity mistake: When Roman is fighting the guy on the bonnet of Shaw's Land Rover, Tej signals him to get back on his Mercedes jeep. When Roman does this, the jeeps are pressed up against one another. Then Tej rams Shaw's Land Rover into the jetwash of the plane. Right before he does this, suddenly a massive gap has appeared between the cars.
Revealing mistake: The truck Roman and Tej are suspended in during the runway scene has no prop shaft attached (without it, the truck won't be able to drive at all). When you look at the bottom of the truck while it's in the air, you can see where the shaft was supposed to be attached to the rear differential.