Visible crew/equipment: As Jake approaches the house after the van drives off, it looks like a crew member got caught at the side of the house and moves back as Jake is taking camera footage. (01:03:25)
Visible crew/equipment: Just after Lockdown stabs Optimus in the chest with his own sword, Cade runs closer and shoots at Lockdown. He then hides behind some bricks. In that shot, the bricks are a broken wall that is two separate pieces. Then it cuts to a different shot as Lockdown returns fire at Cade, and now the wall is one piece. Not only this, but some random guy suddenly appears in the shot next to the wall and right where the explosion happens where Lockdown shot the wall. He is wearing the same color clothes as the wall and only visible for a moment. There was no other guy present until that moment and he just suddenly appears behind Cade and gets hit. It's presumably a special effects member setting off the charge in the wall by the looks of it and it detonated before he got out of the shot. (02:30:55)
Visible crew/equipment: While Annie, Miss Hannigan, and the inspector are in the bathroom, just as Annie says, "Bye, Mr Inspector," right above Miss Hannigan's hand we can see in the mirror's reflection that something dips into view, presumably the boom mic.
Visible crew/equipment: When the doctor wants to study Electro, a green screen and some other things are reflected in his glasses. (01:14:10)
Visible crew/equipment: When Harry and Lloyd first arrive at the Ken Convention in El Paso, there is a shot of the building. Lloyd walks into the building, opening the door. In the reflection, a large light can be seen, as can some of the crew.
Visible crew/equipment: Murph sneaks into Cooper's truck to get to NASA. Once Cooper closes the vehicle door after placing some blankets into it, a boom mic can be seen in the left wing mirror. (00:22:05)
Visible crew/equipment: After the first deployment ends, Kyle is meeting his wife on a runway and they hug. Just as they are doing this, the shadow of the camera operator is visible on them, as the sun is at the cameraman's back.
Visible crew/equipment: When Kate and Carly are drinking in the window seat of Carly's apartment, Carly goes to to the kitchen to get some vodka. When she's walking back to the window seat, you can see her mike pack showing through the back of her shirt.
Visible crew/equipment: In the close-up of the horses' eyeball, the cameraman and his camera are visible along with possibly Reese Witherspoon to his left. (01:00:35)
Visible crew/equipment: When Jii and his men are preparing to attack Lucy after she meets Professor Norman in person, the shadow of the camera can be seen on the backs of Jii's henchmen as they take their weapons out of their cars.
Visible crew/equipment: When Nick lights his lighter to burn all of his stuff, two white screens are visible in his glasses. (01:59:00)
Visible crew/equipment: When they guys meet up with Caesar, Barney says "You walked into that one." When he does you can see 2 people reflected in his sunglasses, other Expendables members, but you can also see what appears to be a camera outside the boat. (00:13:20)
Visible crew/equipment: When Eggsy is in the car yelling at his mum's boyfriend and the windows start to go up, you can see a man's head next him on the floor.
Visible crew/equipment: In the scene after Petyr's death, Deacon is standing in front of a table and the window directly above the table is shown. At that point, you can see a boom mike being yanked out of sight. I know this is supposed to be a docudrama, but this is the only place equipment is shown in the entire movie.
Suggested correction: You said it yourself, it's the boom mic of the documentary crew. They make no attempts to hide the fact that it's a documentary.
Visible crew/equipment: When Major Carver gets in his car to chase after "David", the entire camera crew is reflected in the side of the car when it's reversing.
Visible crew/equipment: While Fin's on the Empire State Building's observation deck Skye's holding the freon connection together, and after Fin picks up the chainsaw and cable just as he shouts, "Ready?" we can see the reflection of set lighting on the glass door.
Visible crew/equipment: When the helicopter first lands at Trafalgar Square you can see a camera boom and lighting rig reflection in the bottom cockpit window.
Visible crew/equipment: In the scene where Adam/Frankenstein is at the water fall window bending down to pick up the knife, there is a man in the background wearing an orange safety vest and blue jeans.
Suggested correction: The man in the background is a cleaner working at the station.
Visible crew/equipment: When the 2 are walking along side their car at the very start, you can see a driver's head as they go past the building. (00:02:15)
Visible crew/equipment: After Riggan ran across Times Square in his underwear and comes into the theatre's entrance, the shot suddenly turns left towards the ticket office, on whose golden shelf the cameraman's legs are reflected. (01:15:04)