Audio problem: When Demming writes "Stolen books" on the white board and says, "Killed for a fortune in stolen books, so I'll run the work crews and see if anybody has priors", his lips don't match what he's saying at all.
Audio problem: When Beckett is talking to Matthew's family about his "personal ghost," as his sister put it. About half-way through her line, "I showed some of Matthew's drawings to one of our therapists and he said it looked like he might have witnessed something disturbing, seen something very violent", there is a shot from behind Beckett facing Matthew's parents. In this shot, Beckett's lips don't match what she is saying.
Nanny McDead - S1-E2
Audio problem: When Esposito cracks the "Seasonal thing" joke about going commando, his face does not move at all. (00:01:50)
Audio problem: Ryan yells "show me those hands" but the audio happens before we actually see him move his lips, meaning it is terribly out of sync.
Audio problem: When Martha arrives at the beginning of the episode, she says to Castle, "I didn't want to disturb you in case you wanted to sleep in." But her lips don't move when she says "sleep in."
Answer: The networks are now having winter breaks. A mid season end of new episodes, when they come back after the new year, it picks up as if several months have gone by. Beckett suggested Valentine's Day as a "chick flick" to watch as she is moved in. Also some episodes are not scheduled to air in order.