I had to goggle famous short men. Not that I consider The Short One famous as most if not all on the list below are far better known. For your non-sports fans Muggsy Bogues no relation to any Mafia organization was an NBA basketball player. Here is a list i found:
Danny Devito
Muggsy Bogues
Gary Coleman
Danny Devito (5'0").
Ghengis Khan (5'1")
Yasser Arafat (died in 2004, 5'2").
Dudley Moore (5'2", plus a few mm tall, you know those millimetres are important or he wouldn't include them). Prince (the artist as formerly known is about the same height).
At 5'3", there's
Davy Jones, Paul Simon, Ariel Sharon (the occasional recent leader of Israel), Ronnie Corbett, King Hussein (of Jordan), Martin Scorsese.
Coming in at 5'4" tall: Michael J. Fox, Pablo Picasso and Rick Moranis (the guy who turned into a monstrous dog in Ghostbusters, also does a lot of character voices in recent kid films).
Standing around 5'5" there's Vladimir Lenin and James Cagney, Lou Reed.
These men stand (stood) around 5'6": Woody Allen, Dustin Hoffman, TE Lawrence (of Arabia), Horatio Nelson, Joseph Stalin.
At 5'7" (ish): Tom Cruise, Al Pacino, Emilio Estevez.
The average British man stands about about 5'9". The average height has been falling in recent years, due mostly to the aging population. People shrink an inch or so in their last 30 years.