When Henry I died, Matilda had control of much of the country off and on...had a good claim to the throne...and minted coins, but she was never crowned. Matilda was also known as the Empress Maud, especially in Normandy.
Edward VIII though I have included him for interest's sake was never crowned, and did not issue coins that were put into circulation in England. What a boob this guy was! The Queen's idiot uncle!
If I have the ambition someday, I may look for coins from these people(I have a coin from Edward VIII, and will post it, but it is not from England). This will depend on how much they may cost, as all will be quite rare.