"More Famous" is an arbitrary concept. There is no way to properly gauge which one is known by a majority of the general public without doing extensive polling.
Since that data does not exist any answer provided by the participants of this site would only be opinion based and not a substantial answer.
shreck
Queen Elizabeth II
queen elizabeth II
Queen Elizabeth II
Queen Elizabeth II.
Much as I admire Kermit the frog, Queen Elizabeth II is more famous.
The Queen
elizabeth
The Queen
queen Elizabeth II
shrek is the most famous
The Queen