The Secret Fate of All Life - S1-E5
Continuity mistake: The first time we see Detective Cohle being interviewed by the other two detectives, two of the beer cans on the table in front of him completely vanish between shots when he asks to see the rest of the discovery file.
Continuity mistake: In the overhead shot of Rust and Marty driving to the Dora Lange crime scene, the cornfields show no signs of being burned. Based on the amount of fire shown in the episode's opening scene, that should be very visible.