Other mistake: If Lucifer is only vulnerable when Chloe is around, why is he bleeding when his brother is hitting him on the beach after Lucifer burnt his wings? Chloe is nowhere around, why is he bleeding?
Suggested correction: Angels can hurt other angels, this has been shown throughout the show. Amenadiel even told Remy as much (not to mention that Remy hurt Amenadiel).
Other mistake: Throughout the episode, Lucifer's car has a California license plate - but that is, just one. He is missing the one in the front. In the following episode the car does have the regular 2 plates, and when he is pulled over at the beginning (and keeps being around cops all the time), nobody raises an eyebrow at the violation of the code.
Lucifer, Stay. Good Devil. - S1-E2
Other mistake: The dynamic of the scene with the paparazzi outside the party is quite absurd: forgetting the fact that the paparazzo just happened to have amazing parking privileges (the only sedan in the street, allowed somehow right by the red carpet!) the timing is all wrong, as he "just" made his escape a minute later, witnessed by Chloe walking away just then from the paparazzi brawl. She had walked past their lot already over 30 seconds before, while Lucifer stayed behind forcing the comical confession out of 'Friar Tuck'. (00:26:00 - 00:26:35)
Lucifer, Stay. Good Devil. - S1-E2
Other mistake: We are shown several times the first person perspective of a paparazzi camera, with the HUD. From a diegetic point of view though, it is used in a way that lacks coherence. For instance, in the red carpet scene the photo count goes down by one every time the shutter clicks, while in the car scene it does not go down at all. And it really could not have been Josh's camera in the red carpet scene, because it photographed Chloe once he already escaped and from behind.
Lucifer, Stay. Good Devil. - S1-E2
Other mistake: Despite the presence of multiple paparazzi on site while a civilian opens a police car, drags the main murder suspect out of it for some rough questioning and generally creates a suspicious scene, nothing about it leaks in the news (one guy even takes picture of the other side of the road!).
Other mistake: When Lucifer and Chloe are talking about the Player after-party, the same extra walks by twice (in the same direction without having enough time to double back). After Lucifer says "sex afterward" and it cuts back to Chloe the women is seen and then when Chloe walks away.
What Would Lucifer Do? - S3-E4
Other mistake: When Lucifer grabs Amenidiel's phone and is supposedly typing on it, he's holding it upside down. (00:06:25)
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").
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.
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.
A Chance At a Happy Ending - S5-E16
Other mistake: After Amenadiel's necklace pin is removed, Chloe tells lucifer to get the blade, and he picks it up with the hilt still attached. But we saw in an earlier season that without that pin to hold it all together, the hilt just falls off.