The following question was asked on the Trello API board.
I thought I'd add it here.
How can I obtain all archived cards on a board?
You can achieve this through use of the [filter] option on the boards endpoint:
/1/boards/[boardId]/cards?filter=closed&key=[your appKey]
It's the closed=true part that does the trick. It directs the API to only return cards which have been archived. I'm fairly certain it includes cards in archived lists, but I'm not 100% sure.
来源：https://stackoverflow.com/questions/16311236/how-to-retrieve-all-archived-cards-on-a-board-through-the-trello-api