Continuity mistake: During the battle a railing on a pirate ship falls off, only to be seen in the next shot intact, then missing in a subsequent shot.
The Thanksgiving Story - S2-E10
Continuity mistake: Throughout the show Rebecca has long hair. Suddenly it's shoulder length when talking to Israel while he was in bed.
The Deadly Decoy Affair - S1-E15
Continuity mistake: In the intro, Illya gets into the car and as he's talking to Solo, finishes the last of his breakfast donut in close-up. When we cut to a two-shot, he finishes the donut all over again. (00:03:40)
Continuity mistake: Before boarding her helicopter, Jade kisses Race as her head is turned towards her right shoulder. The next shot her head is turned towards her left shoulder.
Not Necessarily Gospel - S1-E7
Continuity mistake: Hap puts his hand around Bud's side. Camera angle switches, his arm is on Bud's shoulder. Another switch his hand is no longer on Bud. Camera angle switches once again and Hap's hand is being removed from Bud's shoulder. (00:16:39 - 00:17:00)