Factual error: When Riggs and Murtaugh go to investigate the scene where the body of Ramon Alvarez is discovered Scorsese states that Alvarez's dog tags say "SEAL" on them. His dog tags would not say that he is a SEAL on them. The information listed on dog tags is as follows: Name, Social Security Number, Blood Type, Service Branch, and Religious Preference. There is no way to tell what a given service member's MOS (job) from his or her dog tags. (00:14:00)
Continuity mistake: In the chase on the grand prix circuit, the weather continually changes from wet to dry and back again.
Surf N Turf - S1-E2
Other mistake: When Riggs calls the arms dealer's phone (agent Hirsch), Hirsch doesn't answer the phone, silencing the call and putting the phone in his pocket, but Riggs leaps to action and says "it was Hirsch's voice on the phone!" Realizing that the arms dealer and Hirsch are the same person but no-one answered the phone. (00:32:00)
Suggested correction: When Hirsch ignored the call, it would have gone to his voicemail. That was the voice Riggs would have heard on the phone.
There Goes the Neighborhood - S1-E4
Continuity mistake: At the barber shop Murtaugh's son takes his headphones out to listen to his dad while he's talking to him. Right after there is a quick camera angle change and you can see in the mirror his son has his left headphone back in his ear. The headphone appears and disappears throughout the scene. (00:00:15 - 00:01:00)
Spilt Milk - S1-E5
Factual error: In Chad Jackson's resume, it says he was assigned to "SEAL Team Delta." Navy SEAL teams are ranked by number (ex. SEAL Team 3, 10, etc.), there is no such unit called SEAL Team Delta.
Continuity mistake: When Riggs and Palmer fall through the roof and onto the bed, the debris under them changes. In the final shot there's a huge piece of the ceiling in between and under them that wasn't in the previous shots.
Continuity mistake: When Riggs is talking to Agent Palmer about being hungry, he's holding one red folder. When he asks if she was going to eat, he sets the folder down. In the next shot, he's holding a folder again.
Continuity mistake: When Riggs throws the water bottle to Leo, he catches it with his left hand, in the next shot he's holding the bottle in his right hand.
Continuity mistake: When Riggs gets loose and frees Murtaugh, Murtaugh has no shoes on and is running after Gideon barefoot. Then the next scene shows Murtaugh walking in the hallway with his shoes on. The next frame that Murtaugh is in shows him again shoeless and hoping that it is water that he is running in. (00:37:12)