The Sinner and the Sandman - S5-E2
Plot hole: Ian Avery-Cooper loses his lottery ticket which is immediately picked up and appropriated by Leonard Corbyn. However, Avery-Cooper immediately reports the loss to the shopkeeper who sold him the ticket. All lottery sales staff are trained in what to do under these circumstances, because it happens a lot - they cancel the lost ticket and issue a new one. Since Avery-Cooper used the same numbers every week this would not pose a problem, but even if he didn't the ticket would be recorded on the seller's computers and could be precisely reconstructed. This would be even easier since Avery-Cooper reports the loss within a minute of it happening and we see that he has the receipt for the sale in his hand. Corbyn's stolen ticket would be worthless and Avery-Cooper would be able to claim his rightful winnings. If nothing else Ian could have simply bought another ticket with the same numbers.
Factual error: Kyle says he has to log on before school. The next shot shows "Monday 8 days later." 8 days before is a Sunday. (00:04:45)
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.
Plot hole: During Ryder's report, as Bruce and company watch it on TV, the camera suddenly zooms in on Joker standing on a catwalk above Ryder, and none of the crew, especially not the camera man who caught the villain, makes a comment about this. They may have thought the Joker (or rather an impersonator) was perhaps a surprise gag in the show, but since this is supposed to be a serious documentary report, it is still strange that they wouldn't point it out.
Revealing mistake: As the RCV enters the gravel field with the bomb, you can see a person in shorts walking casually in the background, despite the area being sealed off.
Kessei! CLAMP gakuen tanteidan - S1-E1
Continuity mistake: Nokoru Imonoyama is looking at the dossier about the brother-in-law of their client. The chart showing the sorry state of his business looks different from the close-up when Nokoru puts it down - for instance, it's bi-color grey and white, when it was simply with white background before. (00:13:15)