Continuity mistake: Neal chats with the publicist while Burke goes to meet the journalist. Her hair is either tucked behind her right ear in shots from the left, or not in shots from the right.
Continuity mistake: In the scene explaining the history of the missing jade elephants, they are described as being given to ambassadors by the emperor Zhu Di of China when the Forbidden City (in China) was first opened to foreigners in 1421. When the elephants are all brought together, the representative Daichi Yoshida from the Japanese embassy comes to pick them up, describing them as "a priceless piece of our history."
Withdrawal - S2-E1
Continuity mistake: In the final bank vault scene when Peter and Neil are being held at gunpoint. Neil explodes dye packs over Renee covering her and her gun in purple dye. However, when Peter grabs her gun it has no dye on it. (00:45:00)
As You Were - S3-E8
Continuity mistake: When Sarah has been looking at Neil's laptop, the order of the books she places on top changes from when she first sorts them to when Neil pushes them off. (00:03:00 - 00:04:00)
Shot Through the Heart - S5-E11
Continuity mistake: Near the end of the episode, when Peter and Elie are drinking champagne to celebrate going to Washington, the amount of champagne in Elle's glass changes several times between shots without her having had any. (01:01:20)