When Lucifer says "I can't sleep", his hands are rested on the table. In the next shot, you can see him standing up next to the desk. In the shot after that, his hands are still rested against the table, and then he goes to stand up.
When Amenadiel shows Lucifer the newspaper article about the house fire; the first and last paragraphs of the article are the same (cut and paste anyone?)
When the house owner shows Decker and Lucifer where her missing figurine stood, she shows them a shelf in the living room, with several other angel figurines. In the killer's flashback, this shelf is next to him in the hallway as he flees out the front door.
Lucifer said that he watched all 12 seasons of Bones in a week, however it would take you 176 hours, or 7.3 days to watch all episodes, and he did a bunch of other stuff that week.
Amenadiel shows Lucifer the morning paper where it says that the angel saved a family from a house fire. When paused you can clearly see the prop paper where the first and third paragraph are the same word for word.