Nanny McDead - S1-E2
Continuity mistake: Interviewing Chloe, the protagonists tell her that Sara's ex thought she had a new guy. Look at the cyclist in the background (that already made an appearance earlier); he reappears in the next shot as she goes "Uhm...", and he moved backwards. (00:18:15)
Nanny McDead - S1-E2
Continuity mistake: When Castle makes the joke about Kate being both controlling and disapproving, his elbow is on the right, then on the left of the railing bar. (00:16:50)
Nanny McDead - S1-E2
Revealing mistake: In the very first close-up of the body at the morgue, the 'body' blinks. (00:11:15)
Nanny McDead - S1-E2
Continuity mistake: Castle is on a break at home. Alexis asks him "Who got killed today?" He's putting the cap on a spice dispenser, empty. When she follows with "Do they know who did it?" the dispenser refilled. He then puts it down, but it's back in his hands at the cut. (00:09:10)
Nanny McDead - S1-E2
Continuity mistake: When Beckett takes the call at the beginning of the episode, her fingers change position on the phone between shots. (00:00:50)
Flowers for Your Grave - S1-E1
Continuity mistake: At the precinct checking Tisdale's alibi for the passport stamps, Castle asks why can't she just admit he was right. Ryan next to her is holding the receiver in a different way (look at the index finger) at the cut. (00:34:10)
Flowers for Your Grave - S1-E1
Continuity mistake: Beckett teases Castle after the visit to Harrison Tisdale, spelling out why he's obviously lying. During the scene, the passers-by change position between shots, especially noticeable at the beginning. (00:33:45)
Flowers for Your Grave - S1-E1
Continuity mistake: Harrison Tisdale hands Beckett his passport; it's facing opposite directions in the two shots. (00:33:25)
Flowers for Your Grave - S1-E1
Continuity mistake: Returning home after his arrest, Castle says "Just have to figure out why." Alexis in foreground puts a lock of hair behind her ear, but at the cut it's the same way it was before. (00:29:20)
Flowers for Your Grave - S1-E1
Continuity mistake: After she received the box with the book, Beckett puts it down on the desk, the lid just by the keyboard. It's then gone, and back there again. (00:25:40)
Flowers for Your Grave - S1-E1
Continuity mistake: James Patterson delivers the fun "Well, it's Castle we're talking about..." joke, one hand on top of the other. Next shot, and they are apart on the table. (00:23:30)
Flowers for Your Grave - S1-E1
Continuity mistake: During the poker game with the other authors, Stephen J. Cannell says "You're bluffing, Patterson." The way he holds the cards differs in the two shots. It happens again later after Patterson says that he wouldn't put a bullet in Alex Cross 's head. (00:22:40)
Flowers for Your Grave - S1-E1
Continuity mistake: "Prom queen" murder scene. Beckett' phone rings while Castle asks her about the motive. The janitor in the wide shot reached forward with his right arm, but when she answers, the guy's hand is on his hip. (00:18:50)
Flowers for Your Grave - S1-E1
Continuity mistake: Castle repeats incredulous "A week?" when Beckett tells him how long it'll take for the print results to come out. The cop sitting by confirms nodding, and has both arms on the desk. Reverse angle, and the left arm is off the desk, and back to both as it goes back to the previous angle. (00:16:15)
Flowers for Your Grave - S1-E1
Continuity mistake: Castle comes back from the police station at quarter to one AM with a cleaner shave than he had at the police station. (00:09:25)
Flowers for Your Grave - S1-E1
Continuity mistake: When Beckett shows Castle the picture of the flower-themed murder, in close-up the photo is laid out on an empty table, but it's on the pile of the other photos in the wider angle. (00:07:50)
Flowers for Your Grave - S1-E1
Continuity mistake: Castle's mum is rather unapologetic about her leaking the compromising antics of her son in underwear, and talks to him patting him on the chest. She says "it's expected" and pulls her hands back, but they are still open in front of his chest in the next shot. (00:04:55)
Flowers for Your Grave - S1-E1
Continuity mistake: Castle approaches his mother and daughter at the bar and orders "a hit of the bubbly." He kisses his daughter; there is one open notebook stacked on top of a closed red one. The angle changes and the open notebook shifted off the closed one. (00:04:35)
Continuity mistake: Castle asks his daughter what she would do if she needed a quarter of a million dollar, just like the murdered victim. She answers that she would ask him for it. Watch her necklace. It jumps in and out of her top. (00:31:10)
Continuity mistake: Alexis has just walked into Castle's study and is relaying a message from his publisher to her dad. She holds the note differently in consecutive shots. (00:30:20)
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.