Continuity mistake: Inspector Bucket looks at the wallet Compeyson has placed on bar. The letter M has a few studs missing at top left. Later, when Bucket shows the wallet to Fagin, the M is complete. (00:18:25 - 00:21:50)
Food Fight - S3-E2
Continuity mistake: At the start after Teddy steals Oscar's fries, he eats them, leaving his fork empty. The angle changes and suddenly there are plenty of fries on his fork.
I Seem to Be Running Out of Dreams for Myself - S1-E1
Continuity mistake: Harry hands Walter Blunt a cup of liquid to drink, and Walter takes it in his hand. The next shot Harry still has the cup on a plate.
Continuity mistake: When the "Mole Women" are being interviewed on the "Today Show", watch the white circular table in front of them and the couch they are sitting on. The host has a small smattering of papers and a pair of glasses sitting besides him at the beginning of the scene. Throughout the scene, he will sometimes be holding the glasses and using them to gesture, sometimes not. And the papers move about from the couch, to the table, to another position on the table, etc. True, there are several shots where they are not visible, but it would make no logical sense for him to repeatedly pick up and move them between every shot where they're visible for no reason, and he is sitting in the exact same position in every shot, with his body language showing no movement towards them. They obviously shot the scene a few different times and he placed them down in different positions each time, and the scene was constructed with these different shots.
Continuity mistake: When Theresa and Ben walk down the road leaving town, and run into the woods from the Sheriff, Theresa's roller suitcase falls over on its 'back'. A minute later, when Ethan catches up to them, the suitcase is on its 'front'. (00:36:30 - 00:37:30)
Continuity mistake: When Carolyn and Ennis are racing on the beach, Carolyn in side-saddle has both her legs on the left and for just a couple of split seconds in another shot they're both on the right, and then back on the left again after that.
Continuity mistake: Tutankhamun and Suhad ride to the Mitanni city on a horse with no equipment at all, not even a saddle. Yet mysteriously when they need to stop for the night a large tent appears out of nowhere.
The Wedding - S1-E6
Continuity mistake: After speaking with Nate and Robin, Oksana walks behind Robin and ascends the stairs twice.
A Rose by Any Other Name - S2-E13
Continuity mistake: During the press conference at the beginning, Hakeem has a lollipop in his mouth. During the whole scene, the lollipop keeps switching from shot to shot between being in his hand or in his mouth. (00:02:10)