Continuity mistake: The first half of the episode is based around the same time as early season 1, yet Reece is in the new precinct, which wasn't introduced until late season 2. (00:07:06)
The Sin Bin - S3-E10
Continuity mistake: The eyes Lucifer draws on The Sinnerman change at various times. Even later, when he darkens them out, they change as well.
The Sin Bin - S3-E10
Continuity mistake: When Chloe and Lucifer approach Maggie's car, it's parked next to a car that has pulled in forward (so the trunk is seen). But after they open the door, the car next to Maggie's car is now pulled in backwards (so the front is seen).
High School Poppycock - S3-E15
Continuity mistake: Lucifer is going through the blue 'Class of 3001' book, then puts down the green 'Class of 3001' book without ever lifting it up. (00:11:50)
Continuity mistake: When Charlotte is in Linda's office getting therapy, Linda is shown drawing in her notebook next to a written description of Charlotte talking to a co-worker with bad breath, before Charlotte actually tells Linda the event. (00:16:50)
The Angel of San Bernardino - S3-E20
Other mistake: Lucifer's obsession with Bones is highlighted here when he confronts someone as a killer only to realise it's because he's an actor who played a killer in the Bones episode Intern in the Incinerator (a role Scott Rinker did play in real life). Kevin Alejandro (Dan) and Aimee Garcia (Ella) also played roles in Bones, which Lucifer never comments on. In fact so did Jeremiah Birkett (Lee Garner, "Mr. Said Out Bitch").
Character mistake: Charlotte Richards says to Amenadiel that he and Pierce were "both former immortals who became mortal." Amenadiel never lost his immortality in any of the previous episodes, he just lost his powers. He can be killed by celestial objects like blades or other sharp objects. Pierce however did lose his mark because of Chloe's love, it is assumed, so he became mortal. (00:12:45)
Quintessential Deckerstar - S3-E23
Continuity mistake: When Espinosa opens the waffle maker, initially he's holding it facing up, slightly away from him, then the shot cuts and he's holding it close to his body, facing outwards. (00:21:20)
Quintessential Deckerstar - S3-E23
Audio problem: Chloe enters the scene with her handgun drawn. She carries a Glock 19. Glocks are striker fired and have no exterior safeties to click or lower which would produce a sound, however when she draws and points her gun a click can be heard. (00:34:25)
Continuity mistake: Lucifer says that Amenadiel has a crazy theory that explains a whole list of things, but then doesn't say what the theory is. Pierce says "And you believe that?" as though it made perfect sense. But there's at least half a sentence missing. (00:02:50)
Expire Erect - S4-E5
Continuity mistake: Near the end, as Dan says "this is all on me", in a shot from behind her Maze is spinning her knife then stops, gripping it pointing downwards in her fist. Cut to a new angle and her hand is instantly turned over, with the knife sticking out sideways.
Other mistake: When Julian is in custody, being interviewed by Chloe, a lawyer comes in and says a judge has released Julian on his own recognizance. Then Chloe asks what happened to the $2M bail and the lawyer says it's already been paid in full. It's one or the other, if he was released on his own recognizance, no bail would have to be paid. If the bail has been paid, he would be released and no need for a judge's order. Not to mention the fact that all of this takes place the same day he's brought to the station and hasn't had a bail hearing. He didn't even seem to have been processed, he was just being questioned.
Devil Is as Devil Does - S4-E7
Character mistake: On Earl D. Bolden Jr.'s wanted poster, it says "if you see this man NO NOT approach..." It should say "DO NOT."
Who's da New King of Hell? - S4-E10
Continuity mistake: When Lucifer, as the Devil, tells the demons to go home, all the bodies fall down. We see the bodies fall down behind Chloe, too. After the shot of the Devil, the camera goes back to Chloe and the bodies all fall down again.
Character mistake: Chloe, Maze, and Ellen are discussing a murder and the death of Vernon Gill who was killed when hit by a car after he was fleeing pursuit from Chloe and Maze. They were discussing Dirty Doug who came in last night and Maze says "he came in last night and Gill said he threatened him for taking credit for Lee's murder." How could Gill say anything when he was already dead from being hit by a car. Should be "he said Gill threatened him" not Gill said since Gill's dead, in hell. (00:30:55 - 00:32:00)
Deliberate mistake: Lee's old crew of three are shooting various caliber handguns at Chloe and Lee's sister. Chloe took cover behind a kitchen island. Kitchen islands are made of thin wood, the only piping in them is plastic and some brass/copper. All of those handgun calibers would have penetrated the kitchen island. (00:45:45 - 00:47:00)
Lucifer! Lucifer! Lucifer! - S5-E2
Character mistake: Chloe and Lucifer are sitting in Chloe's police cruiser staking out a suspect's car, and they get into a pursuit with the suspect in his Porsche. Chloe's police cruiser had no police lights or sirens blaring during the pursuit. Plus they are in a heavily populated metropolis; doesn't make any sense why they wouldn't have their lights on. It's standard police procedure to alert other drivers an emergency vehicle is on route, so they can yield/pull over and take care. (00:22:20 - 00:24:00)
Plot hole: Lucifer and Amenadiel realise baby Charlie calms down and gets put to sleep when he sees Lucifer's devil face. Dan just left Amenadiel's house, and he gets a phone call with Lucifer's voice telling him to come back to the house. He turns around and sees through the window Lucifer's devil face. It is revealed that Lucifer's evil twin brother called Dan to expose Lucifer. Makes no sense how Michael knew that Charlie responds to Lucifer in that way. He would've been seen peeking through a window. (00:49:35 - 00:52:00)
Suggested correction: You essentially explained the plot. Michael had been watching them the whole time. In fact, when Michael calls Dan, Dan first responds with "hey, man, what's up?" because he saw that it was Lucifer calling him. One way for Michael to have Lucifer's phone is because he saw Lucifer throw it out the window earlier.
Plot hole: Lucifer's evil brother Michael appears too Dan as he is praying upon Charlotte's grave from heaven. He tells Dan he can right all of his wrongs. His plan is to hurt Lucifer. It's stated that God sees all and hears all. "The eyes of the Lord are everywhere, keeping watch on the wicked and the good" (Proverbs 15:3). Doesn't make sense how Michael is able to travel from the Silver City to Earth to hurt Lucifer without Dad knowing or having any input, since Michael has a direct line to his Dad. (00:17:00 - 00:19:40)
Other mistake: When Maze is knocked down by Lucifer the second time, the footage used of her on the ground is the same footage from when she got knocked down the first time.