'Yes Minister'. There is also a follow up series called 'Yes Prime Minister'. Very funny stuff - especially if you have any insight into the public service bureaucracy.
If you haven't heard of them, The Thick of It is basically a modern version of this show. By Armando Ianucci, the man who went on to make Veep (with Julia Louis Dreyfuss). Both series have been praised by insiders who say "The show is just like what happens in reality!".
He's also made the movies "In The Loop", set in the run up to the Iraq War, and "The Death of Stalin".