Edward VI (1547-1553) - He's rarely portrayed as anything more than a young boy.
James I (1603 - 1625) - The New World - He's creepy because his paternal grandmother and maternal grandfather were siblings. His mother was Mary, Queen of Scots who has been played by Vanessa Redgrave and IMDB says Saoirse Ronan will be playing her soon. He was the one who sent the explorers around the world because he was devoutly Protestant. Also James I was King for the original Guy Fawkes day, so he was obviously quite popular (that was a joke).
Charles I (1625-1649) - After him, there's a gap in the monarchy for a bit.
James II, William III & II and Mary (1685-16881688-1702) - Orlando They both have brief moments in Orlando putting Tilda Swinton's character in context. Oh, and there's a whole college named for them, so that's cool too.
Anne, George I, George II (,1702-17014, 1714-1727, 1727-1760) - I sense there is something they appear in since it's such an uproarious time for the monarchy, switching from the House of Stuart to Orange to Hanover, but I can't find it.
Edward VII (1901-1910) - Couldn't find anything on film except a short appearance in Mrs. Brown