Lucifer mentions that Bones (2005) is his favorite show throughout the series. Patricia Belcher was in 55 episodes of Bones.
Briana Hildebrand and Tom Ellis both used their real singing voices at the end when singing "Bridge Over Troubled Waters", and Hildebrand was actually playing the guitar in the scene.
The title is said by Officer Harris.
Lucifer's personalized license plate is "FALLIN1", his own joke based on his status as the Fallen One.