Being a none-Brit, French of heritage as it were, I can say I do enjoy quite a few British shows.
Blackadder,
Mister Bean,
The young Ones,
Monty Python's Flying Circus,
The Adventures of Sherlock Holmes, Doctor Who (old and new),
Not the Nine O'Clock News,
Spitting Image,
Alas Smith and Jones,
Smack The Pony,
A bit of Fry and Laurie,
Black Books,
Spaced,
Trigger Happy TV,
Vexed,
Whitechapel,
New Tricks,
Wakeing the Dead,
Sherlock,
Agatha Christie's Poirot,
Top Gear,
Being Human,
Changing Rooms,
Ready Steady Cook,
The Benny Hill Show,
Bottom,
Coupling,
I'm Alan Partridge,
Cracker,
Father Ted,
Never Mind the Buzzcocks(The Mark Lemarr era),
Goodness Gracious Me,
Silent Witness,
Gophers!,
Hale and Pace,
Touching Evil
Rumpole of the Bailey,
Hustle,
Inspector Morse,
Lovejoy,
Men Behaving Badly,
Jeeves and Wooster,
Jekyll,
Murphy's Law,
The Deep,
QI,
The League of Gentlemen,
Kingdom,
Little Britain,
The Mighty Boosh,
My Hero,
The Singing Detective,
Prime Suspect,
Red Dwarf,
Absolutely Fabulous,
Yes Minister,
Midsomer Murders,
Peep Show,
Torchwood,
Bone Kickers,
Fawlty Towers,
Shooting Stars (ufarfu!)
Rebus,
The Gadget Show,
Room 101,
Scrapheap Challenge,
Would I lie to you?,
Spooks,
The IT Crowd,
Mock The Week,
'Allo 'Allo!
The Planman.
Some I grew up on, others I discovered (and rediscovered) later (Thank the god I can' imagine exist for my parents good taste and good sense of humour, and good sense in general to expose me to so many great shows.)
I know I have left out many many other shows I just can't remember the name off, and I have come up empty googling for the names.
So yeah... There are fans of British shows outside of Great Britain
Edit: Hell's bell's and buckets of blood I forgot a ton of shows, that is corrected now
Edit 2.0: I just realised I forgot what the tread were about... it were
NOT british shows.. But specifically BBC shows... /facepalm... I don't know what channel showed/shows what series.