I'm from the US but damn I'm obsessed with British TV.
Peep Show - UK
Anything with Mitchell and Webb.
Black Books
Toast of London
Bruiser
IT Crowd
Phone Shop
Father Ted
Raised by wolves - UK (not the US sci-fi one)
Rev.
The Wrong Mans
Sliced
Karl.Pilkington.The.Moaning.Of.Life
Travel Man
Gogglebox
Ideal
After life
Great british model railway challenge
Canadian stuff:
Kim's convenience
Dragon's Den Canada
Trailer park boys.
Then US stuff
The Life and Times Of Tim ( my all the favorite)
Curb
Aqua teen hunger force
Frisky Dingo
The Wire
Dexter
If you want more Britcoms check out 'Alan Partridge', I mainly just like the first season, or anything with Steve Coogan, 'The Mighty Boosh' and 'Noel Fielding's Luxury Comedy', and of course the UK original version of 'The Office'. My friend and I were trying to figure out if The Office or Peep Show is the GOAT Britcom.
I watched 'Fawlty Towers' as a kid and hated Cleese's over acting, but I watched a bit as an adult and thought maybe give a go.
Also I watched 'Benny Hill' as a kid so ............. :-)