Unless you believe that Anne Boleyn had illegitimate children that we don't know about or that Elizabeth I had illegitimate children (Shakespeare, Earl of Oxford, Arthur Dudley etc.) then there are no direct descendents of Anne Boleyn. However, Mary Boleyn's wikipedia page states:-
"Mary Boleyn is a distant ancestress of many notables including Winston Churchill, John Davison Rockefeller, P. G. Wodehouse, Elizabeth Bowes-Lyon [the late Queen Mother and therefore the Queen], Diana, Princess of Wales, Sarah, Duchess of York, Charles Darwin and Thomas West, 3rd Baron De La Warr."
So there is still Boleyn blood around.
If we believe that the Carey children were fathered by Henry VIII then these people are also descendants of him.
Mary Boleyn's daughter Catherine Carey, Lady Knollys, had 15 children and Mary's son Henry Carey, 1st Baron Hunsdon, had 12 children (not all survived infancy) plus some illegitimate children, so that's a lot of Careys!