Continuity mistake: Most of Season 1 takes place in January of 2006, while Season 2 takes place in March of 1979. Molly mentions near the beginning of Season 1 that she's 31, and her father confirms this in episode 10 by mentioning that she was 4 years old during the events of the Sioux Falls massacre (season 2). In season 2, Molly's mother mentioned in episodes 1 and 4 that she's 6. It's also revealed in a flashback scene in episode 10 that she graduated high school in 1991 (most people are 17 or 18 when graduating high school). If you do the math, you'll see that there's an inconsistency in her age between Seasons 1 and 2. Apparently, 2 years were added to her age in Season 2.
Continuity mistake: When Greta sits down with the shotgun, it is pointing directly at Lou, horizontally angled. However, after a cut, the gun is suddenly pointing diagonally, at an angle. It is also strange that Lou, a former police officer, doesn't caution his novice granddaughter against pointing a loaded gun at him. (00:40:15)
Who Shaves the Barber? - S1-E7
Continuity mistake: When Molly visits Wes Wrench in the hospital we see the whiteboard on the wall has writing on it. Molly takes it off the wall and hands it to him without erasing it and it's suddenly blank.
Did You Do This? No, You Did It! - S2-E7
Continuity mistake: During the sequence in the woods where Bear shoots Simone, the sun angle changes numerous times. It is afternoon throughout the first half and then the sun is setting while she is pleading for her life. When Bear gets back to his truck the sun is overhead again.
Continuity mistake: In the parking lot outside the medical clinic where Otto Gerhardt just had an appointment, a large wet spot on the ground continually appears, disappears, changes shape, and sometimes has tire tracks running through it, then does not.
Rhinoceros - S2-E6
Continuity mistake: When Simone is on the phone with Mike, she puts the hand holding the phone down in her lap (so the back of her hand is touching her leg) to yell at the person in the room. When the shot changes, her hand and phone are now up at her chest.
Who Shaves the Barber? - S1-E7
Continuity mistake: When Gus arrives to visit Molly in the hospital, he brings her a bouquet of flowers. He sets the flowers on the roll-away table stationed over the end of the bed, and the blooms are facing towards the window. When the scene cuts to a different angle as he is walking toward Molly, the bouquet is now completely turned around and the stems are pointing at the window, even though Gus did not touch them again.
Continuity mistake: The antenna on the back of Ted Danson's police car is not present when he's talking to the other officer. When he gets back to the station it is back on the car. Also, the other officer's vehicle doesn't have an antenna. How would their radios work?
Continuity mistake: When the bodies of Nikki Swango and the state trooper are being taken away, the large amount of blood that pooled under both of them has gone.
Continuity mistake: Lester's office assistant moves from behind him to almost in front of him during the scene where he hits the boys with a stapler. Notice Gina look over at her when she was just behind Lester.
Continuity mistake: The weather at the end changes. In the very wide shot snow can be seen falling on the distant hills. In the next shots there is no snow.