Deliberate mistake: When the investigators are in the basement wine cellar, they turn on their flashlights to illuminate the pitch black area as they walk around. However there is a light source moving with the camera shining on them as they are casting a shadow behind them.
Crucifixed - S5-E10
Deliberate mistake: When Tara is talking to Gemma in the parking lot of Stockton Prison, the chrome bumper of Tara's SUV is blurred out, probably to cover up visible crew and equipment. It looks unnatural, since the image is sharp enough that you can see the radiator itself behind the grille, and the numberplate is perfectly sharp.
Deliberate mistake: When filming the fake movie with Sophie playing the nun, many holes are made in the door, but when she slowly kneels to the ground, there isn't a hole behind her, so it seems like she's been miraculously saved. But as the scene continues, the nun starts to bleed and dies. Technically, they couldn't safely put a squib that close to her. (00:21:15)