Character mistake: Mrs. Reynolds, the housekeeper at Pemberley, refers to Mr. Darcy's late mother as Mrs. Darcy while showing Elizabeth and her aunt and uncle the house. This is a grave mistake on the part of the filmmakers as she should have been referred to as Lady Anne, the way her sister is known as Lady Catherine. Their father was an Earl, making them Ladies by birth, not by marriage. Hence, they must be called Lady followed by their first name.
Pride and Prejudice (1995)
1 character mistake in show generally - chronological order
Starring: Colin Firth, Jennifer Ehle, Julia Sawalha, Susannah Harker
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)
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Suggested correction: The device being referred to looks like a lamp, which is part of the carriage. Therefore, it is not a mistake.
Mr. Bennet: For what do we live, but to make sport for our neighbours, and laugh at them in our turn?
Trivia: Jennifer Ehle who played Lizzie is blonde - she knew Lizzie was to be brunette, so she dyed her eyebrows the night before the dressed audition to give her a better chance of suiting the part. (This is confirmed in the 'making of' book).
Episode #1.3 - S1-E3
Question: When the Gardiners arrive at Longbourn for Christmas, where are their children? Surely, they would not have travelled without their children at Christmas.
Answer: The children were probably left with a nanny or relatives. It's very likely that the Longborns would have left them at home. Travelling for days by horse-drawn carriage over bumpy dirt roads is difficult in the best of circumstances, and particularly hard during winter. The trip would be too arduous for young children.