It Takes One to Know One - S1-E2
Revealing mistake: During the crown jewel heist, Mundy is lowered through the ceiling on a trapeze. But the stunt double is apparent in long shots. He's taller and quite a bit more muscular than Mundy is. (00:36:00)
Revealing mistake: Lori Chan picks Mundy up at the airport and proceeds to speed through town, spinning the steering wheel left, right and left again repeatedly. But the rear-screen projection behind them is showing footage from a car moving steadily in a straight line. (00:07:45)
Revealing mistake: The saloon's upper level railing looks solid until just before the bad guy falls through it, when the cuts in the break-away section are prominently visible. (00:26:05)
Beyond a Treasonable Doubt - S3-E23
Revealing mistake: Somehow you'd think that a gadget-happy government spy agency would be capable of replacing a dead battery. The clock in the SIA HQ board room remains at 10:10 throughout the entire 5-minute interrogation scene with Mundy. (00:07:00)