Visible crew/equipment: As Tom Cruise is listening to his mission via the sunglasses at the beginning of the film, the camera and several crew members are reflected in the right lens as the shot pans around him.
Visible crew/equipment: Near the end of the movie, when the point of the knife is close to Tom Cruise's eye, you can see the cameraman and the reflector on the reflection of the eye.
Visible crew/equipment: When the cars flip over as they blow up, you will see a circular object underneath the vehicles, about the size of a tyre. This is the device that "lifts" the vehicle for it to flip on one side, timed with the appropriate explosion.
Visible crew/equipment: In the scene where Nyah and Ethan have a race with a Porsche and an Audi-TT, at the end after the camera shows Nyah's feet you see both cars from front. Now on the right side of the screen you see the shadow of the filming helicopter.
Visible crew/equipment: At the end, when Tom Cruise throws the knife at Dougray Scott's feet, there is a quick succession of shots consisting of the two in a fistfight. In one of the quick shots, as Tom Cruise is debating throwing the knife, then charges instead, there is a distinct black shape at the bottom right side of the screen that belongs to neither Cruise or Scott. The shoulder of a crewman who got a little too close, perhaps?
Visible crew/equipment: At one point in the scene where Tom Cruise is escaping with the antivirus, but before he gets on the motorcycle, he jumps and sort of flips and manages to shoot someone while upside down. When he lands, the ground ripples like a waterbed, revealing that it was some sort of pad to cushion his fall.
Visible crew/equipment: During the bike chase at the end of the film, a stunt man in full leathers and crash helmet can be seen on one of the bikes - none of the riders were wearing anything like that.
Answer: The only thing I can think is because they're in Sean Ambrose's hideout, and he's an ex-IMF operative, then he possibly had the gear required in there. Ethan found it before the encounter with Hugh, and it's simply not shown. Other than that, it's an error.