
Continuity mistake: At the end of the episode, the Mercedes S class that is burning is not the same car that Castle drove previously in the episode, it's an older model one. Either it's a mistake or has to do something with the plot resolution, decide yourselves...

Continuity mistake: In season 2 episode 11, Jake is shown doing at least 3 pull ups but in this episode he shows he doesn't know how to do one and Terry has to show him.

Continuity mistake: When Charlie Epps is writing a quadrillion on the whiteboard, the writing alternates between shots. Most noticably when he first writes it down, there is a significant downward tendency of the 000 groups. In the next shot, they are pretty much horizontal. Also the shapes of the commas alter.

Continuity mistake: Tony's hair length alternates between a short buzz cut and longer in different shots in the scene where Sil, Paulie and Chris visit him after his mother dies.

Cartman Gets an Anal Probe - S1-E2
Continuity mistake: In the classroom there is a poster of The Laughing Cavalier in the back wall in the class. In the last shot of that scene you can notice that the poster has disappeared and is replaced with an astronaut poster. (00:09:05)

Continuity mistake: In the first episode of season 10, when Marissa is holding a dog while talking to Elaine, the way her arm lies around the dog's neck changes several times between shots.

Green Light - S3-E4
Continuity mistake: In the scene where Walt is talking to Jesse in Jesse's car, when Jesse pulls out the bag of meth it is in a slide to seal bag. The bag changes between this and a regular ziploc bag from shot to shot. (00:19:30)

Continuity mistake: Bridget doesn't seem to be aging as she should. In the first season Joe and Allison talk about their '6 year old' and she doesn't have any friends, Ariel is 9 and Marie is a baby. Rolling on to season 4 - Ariel is 14/15, Bridget is 9 (the episode when she's talking to the credit card guy Mr Reshmi - Joe tells him off for speaking for 10 minutes to a 9 year old). So, my point is - it appears five years have passed - Ariel has gone from 9 to 14/15 and Bridget is 9 - that's only 3 years. Marie was approximately a year old or so in the first season and appears to be 3 or 4 in season 4. It would make sense if Bridget were only 4 in the first season and five years later would be 9 but she's mentioned as being a six year old when the teacher tells Joe and Allison that she doesn't have any friends at school And Then meets Bobby Le Shell. Please correct me if I'm wrong as I'd love to hear an explanation for this.
Suggested correction: The age makes sense because Ariel is around 11 in the first season.
No, Ariel is 9. It's explicitly spoken in the dialogue.

Unidentified Flying Angels - S2-E9
Continuity mistake: During the flight, Kelly gives Britten the OK sign (thumbs up). In the first shot, she uses her right thumb; but, in the next shot she uses her left thumb. (00:30:20)

Continuity mistake: When the load of lumber is dropped on Captain Greer's 1968 Ford Galaxy 500, the car turns into a beat-up 1960 Oldsmobile just before it is squashed.

Partners of the Month - S2-E18
Continuity mistake: While he's talking to Janette at the Raven, the level of fluid in Schanke's cocktail changes all by itself from several inches down to nearly full again, even though he's been sipping at it throughout their conversation. (00:34:55)

Continuity mistake: When Silas is painting the wall green, some parts jump from being painted to unpainted between shots.

Continuity mistake: When Tony shows Chandler's boarding pass to McGee for photo evidence, Tony's hand moves from holding the upper edge to the lower edge. (00:04:15)

Continuity mistake: They check up Pyramid Inc at the Eastpoint Insurance register for the Volvo S80 to GPS track at the beginning of the episode. Next scene they're putting a tracker on a S60. (00:01:53)

Chapter Two: A Touch of Evil - S1-E2
Continuity mistake: During the pep rally it is raining hard and everyone on the football field is soaking wet, but when Cheryl runs from the field into the locker room followed by Veronica and Betty, they are all completely dry and their hair is perfectly styled.

Continuity mistake: When Bentley says how Maple Man can "gobble my knob", he briefly pauses between each word. When Theresa then plays back Bentley's confession, he says "gobble my knob" without pausing. (00:18:58)

Orange Blossom Ice Cream - S7-E3
Continuity mistake: In the meeting they said Erica Fline broke out of jail a year ago, but that occurred three years previously. (00:01:53)

Revelations - S3-E6
Continuity mistake: When Tim puts Lucy in the squad car after "arresting" her, the rear door on the driver side is open, but when the camera pans back to her it's suddenly closed without making a sound.

Episode Nine - S2-E2
Continuity mistake: The necklace James took from the coconut in Dr. Jacobi's office in the previous episode had a gold chain. When he gives it to Agent Cooper in this episode, it's on leather.

Episode #1.1 - S1-E1
Continuity mistake: Luther goes to see Zoe and the house is an end terrace with a red door. Later he goes back and it's mid terrace with a black door.
Suggested correction: No, I don't think this is an error. I think the house with the red door is Luther and Zoe's marital home and the house with the black door is Mark's home.
That's what I thought, but how did he know where Mark lived?
I think it's a mistake because Riply is outside keeping watch on Zoe's house. At that point, Luther didn't know who Mark was, so how could he know where he lives?