Everything's Coming Up Lucifer - S2-E1
Visible crew/equipment: When Lucifer and Chloe are walking across the set at the start, the camera rig is reflected in the car's paintwork. (00:05:20)
Everything's Coming Up Lucifer - S2-E1
Continuity mistake: When Lucifer and Ella are talking for the first time, Ella's hair changes from neat to messy between shots and back again. (00:08:50)
Everything's Coming Up Lucifer - S2-E1
Continuity mistake: When Lucifer walks out of the police station having worked out who Bobby B is, Chloe has nothing in her hands in one shot, and a piece of paper in the next. (00:30:40)
Everything's Coming Up Lucifer - S2-E1
Continuity mistake: When Chloe goes to ask Ella if she believes in God, Ella has her hands on or off the microscope depending on the shot. (00:32:20)
Liar, Liar, Slutty Dress on Fire - S2-E2
Continuity mistake: When Lucifer is examining the doll, the way he holds it changes between shots. In one shot, he is holding the packaging, and in others, he's holding the item. (00:24:20)
Liar, Liar, Slutty Dress on Fire - S2-E2
Continuity mistake: When Lucifer gets the doll out of the box, the doll's box is either face up or face down depending on the shot. (00:24:30)
Liar, Liar, Slutty Dress on Fire - S2-E2
Revealing mistake: When the cops find the body in the hotel room, the actor playing the body is visibly breathing when he's supposed to be dead.
Factual error: When we see Dan's computer while he's running the trace there are 4 results shown, but they're all the same: 256.256.256.256, an impossible IP address.
Lady Parts - S2-E4
Continuity mistake: In the tiki bar, when Chloe says she's LAPD, Maze chokes on her drink and her bottle is by her shoulder. When the shot changes to a close-up of Maze, the bottle is now up by her mouth. (00:17:30)
Lady Parts - S2-E4
Continuity mistake: Chloe has a bruise on her left eyebrow and a cut on her right after the fight in the bar, but when she grabs Lucifer's phone the cut and bruise have swapped sides on her face, and then when she storms off they go back to their original sides. (00:30:48 - 00:31:30)
Plot hole: There is a rather confusing revelation when Chloe is shown the recording Joe Fields made for his daughter to see in the event that he were to die. In the recording, Fields tells his daughter that he did not kill the cop (Chloe's father). Chloe then notices that this is true because based on the timestamp on a sign in the background of the recording, he made the video 3 minutes before her father was killed. But this would be impossible because at that point the cop in question was still alive.
Suggested correction: That was the whole point of the episode. Joe Fields never killed Chloe's dad (officer Decker). Fields was innocent and took the fall for his murder. The time on the sign showed that Fields was too far away to have killed her dad. Her dad was in fact assassinated (arranged by Perry Smith) and not killed in a robbery attempt as previously believed.
But why would he even make a tape saying he didn't kill the cop if it hadn't even happened yet? Makes no sense. Did he go back in time?
I think you should rewatch the episode. He already agreed to take the fall for the murder. He knew the murder was going to happen. He made the tape for his daughter before he went to prison (and possibly made it before the murder as to further prove his innocent). The tape was to be given to his daughter after he died so that it wouldn't affect the deal he made.
They never made the connection that he knew the murder was going to happen, instead they went on a wild goose chase instead of going bit by bit.
But then as Bishop is saying, Joe Fields knew that the hit was going to go down. He made the video declaring his innocence so his daughter would eventually get the tape. Whether he knew that he would be exonerated is another matter. But the point remains the same. He knew that the cop was going to be killed and simply prepared for it. No mistake.
Stewardess Interruptus - S2-E11
Continuity mistake: When Chloe tells Lucifer that her main priority is the case and that nothing is going to happen between them, her hair on the right side of her face tucks itself behind her right ear between shots. It then falls down again, then tucks itself once more. (00:34:40)
Stewardess Interruptus - S2-E11
Continuity mistake: When Chloe tells Lucifer that her main priority is the case and that nothing is going to happen between them, her hair on the right side of her face tucks itself behind her right ear between shots. It then falls down again, then tucks itself once more.
Continuity mistake: When Lucifer hands Decker the blue cup at the party, the way she holds it changes between shots.
Deceptive Little Parasite - S2-E15
Continuity mistake: When Chloe and Mazikeen are at the private school checking out the other parents, Chloe is alternately holding Mazikeen's hand and not holding it between shots.
Sympathy for the Goddess - S2-E17
Plot hole: Charlotte tells Chloe that she was talking to the man on the phone when she hears gunshots. Being a veteran detective Chloe should have noticed since the man's gun was in his pocket (Chloe comments that his phone was found on him) that he couldn't have been using it when he was shot, therefore Charlotte was lying. Yet she never realised this.
The Good, the Bad, and the Crispy - S2-E18
Continuity mistake: When Lucifer is sending his mum to her new world, he is standing for the whole scene. They show a shot of Charlotte collapsed on the beach, and in the same shot, you see Lucifer on his knees in the sand. The very next shot, he is standing again. You only ever see him fallen on his knees when time starts back up again and the detectives realise where they are, which is a bit later. (00:37:25)