The Bridge - S1-E10
Revealing mistake: Agent Coulson turns the steering wheel several times despite the car being on a straight street.
The Vision - S4-E12
Revealing mistake: Two oarsmen (or rowers) in Ragnar's boat, the first in front of us and the second from the back, pretend to have an oar but have none. (00:38:35)
Kreplach and a Tiny Tush - S3-E7
Revealing mistake: When Gill called Kristy she picked up, but if you look at her phone someone is still calling. (00:02:20)
Episode #1.4 - S1-E4
Revealing mistake: The tabloid story with the plight of the Latimers just came out, and various characters are looking at it. In the bit when David Tennant tosses on the desk his copy of the Herald, the second paragraph of the second column goes "Sitting in the family home, surrounded by pictures and mementos of Danny" etc. It is the same text that was at the very beginning of the article when the store owner was looking at it. The newspaper is a prop with the same text in a loop. (00:35:00 - 00:36:30)
Revealing mistake: Every phone call in the show, the phones never show the correct screen. Either it is glitching behind their ears or it's the home screen.
Revealing mistake: After Krystal goes to the bathroom, Sarah's phone is not in call mode.
Chapter 43 - S4-E4
Revealing mistake: After Underwood and Meechum are both shot, other agents pick up the president to transport him to a hospital. Agent Meechum is lying on his back with eyes open. Another agent takes his firearm and checks his carotid artery. Since the agent walks away from Meechum, it's assumed Meechum is dead. However, Meechum is still breathing. (00:21:40)
Slouching Towards Bethlehem - S2-E8
Revealing mistake: When Kenya is being held at gunpoint the pistol pointed at her has a visible seam running up the grip and the back of the slide. It's a plastic prop.
Revealing mistake: When the house starts to shake and collapse the picture frames on the table don't move an inch, revealing that it's just the camera shaking.