Continuity mistake: The lighthouse keeper's pistol keeps changing distance from Sgt. Troy's head between shots.
Continuity mistake: When the Thasians restore Yeoman Rand on the bridge she's barefoot, but when Charlie begs Kirk not to let the Thasians take him because he can't live with them anymore, we see Rand wearing a white fluffy slipper (which she wasn't holding when she reappeared), then she's back to being barefoot again. (00:44:42)
The System - S3-E15
Continuity mistake: Phelps takes the tape from the recorder's right-hand spindle. When he opens the acid vat, we can see the tape he just removed back on the recorder - but on the left spindle. The tape he then drops into the acid doesn't remotely resemble the one he pulled, and when he drops it, the recorder's left spindle, where the full tape was in the last shot and where the empty reel should be, now has nothing on it at all. (00:02:50)
Batman Stands Pat (2) - S1-E14
Continuity mistake: Batman's plaster-covered costume gets an instant dry cleaning en route as he drives from the sculptor's studio to the batcave. (00:05:00)
The Moulin Ruse Affair - S1-E17
Continuity mistake: From the outside, the U.N.C.L.E. building's wall is made of red brick. But, after a large hole is knocked through it, a shot from the inside shows no red brick at all. In fact, the entire wall is now made of white cinder-block. (00:02:30)