Remembrance - S1-E1
Continuity mistake: When Picard walks out of the archive building he's shocked to see Dahj, who is wearing boots with a chunky heel (also seen when she followed Laris to a bedroom for "a good night's sleep"). After their talk Dahj and Picard head to the roof, and while Dahj fights the Romulan assassins she is wearing flat soled boots, but in at least one shot as she kicks an assassin her chunky heeled boots reappear. (00:28:15 - 00:32:45)
Continuity mistake: In Episode 1, Nora tells Nathan that he isn't supposed to know if she is a human or AI, but later on in the season when the egg hunt is announced, it is clear that the prize is virtual funds for the Uploads, and actual cash for the Angels.
Continuity mistake: The three friends finally meet in person after all the texting. Karube brings a cigarette to his mouth when Chota asks "Where to?", but in the next shot his hand is lower. (00:07:15)