The challenge, should you choose to accept is this:
All three of Henry VIII's legitimate children (Edward VI, Mary I, and Elizabeth) must marry and produce children that will pass his bloodlines among the royal houses of Europe. Bonus points if the current British monarch ends up being descended from all three. Note, not all of them have to end up as ruling England.
My reason for posing this challenge is that if one believes that Henry and Catherine Carey were Henry VIII's, it took over four centuries for his blood to get back to the English throne (in the person of the current duchess of Cambridge). But still, there are no direct descendants of Henry's wives: Catherine of Aragon, Anne Boleyn and Jane Seymour.
Please try to keep it credible.
Christmas greetings