Episode #1.6 - S1-E6
Visible crew/equipment: When Lady Catherine de Bourgh and Lizzie are by the carriage (right after Lady Catherine de Bourgh questions whether Lizzie is engaged to Mr. Darcy), there's a camera or some sort of device visible. (00:36:40)
Episode #1.3 - S1-E3
Continuity mistake: When Elizabeth is about to leave for Hunsford there are three trunks (1 large, 2 small) visible in the hall. As Elizabeth moves into the study the servant removes the top trunk to take to the carriage. In the next shot of Elizabeth in background only the large trunk remains. In subsequent views of Elizabeth the large trunk remains in view. When Elizabeth farewells her father and leaves the room the servant is seen picking up the second small trunk which has magically reappeared. (00:23:30 - 00:24:10)
Episode #1.5 - S1-E5
Continuity mistake: The day that they received Mr. Gardiner's express letter, Jane is wearing a pink gown and Elizabeth a white. The next scene is possibly that evening before bed where Elizabeth tells Jane she wishes she never told Mr. Darcy about Lydia. The following scene looks like the next day, when Jane and Elizabeth tells Mrs. Bennet about the letter, and they are wearing the same outfits from presumably the day before. When Elizabeth goes down to her Father and they start talking, she says, "considering what we thought only a few hours ago." Which means the before bed scene was cut from after Lydia's and Wickham's wedding, because it shows a flash to Mr Darcy. Which is the same scene of him at the wedding which hasn't happened yet.
Episode #1.5 - S1-E5
Continuity mistake: Jane and Lizzy are talking in Lizzy's bedroom about how Lydia's elopement has affected their chances of finding respectable husbands. The cream-colored shawl on Lizzy's left shoulder appears and disappears depending on the angle. (00:31:35)