Agreed. Coupling is very funny. The British version of the office is better than the U.S.
Also
Sherlock Holmes (the ones with Jeremy Brett).
Yes, Minister
Yes, Prime Minister.
Monarch of the Glenn (first three seasons).
Rumpole of the Bailey.
Doc Martin
Skins
A couple Canadian comedies worth mention, just because they are not U.S. humor:
Trailer Park Boys is, IMHO, the funniest comedy ever (unless you live in a trailer park and are easily offended).
Corner Gas (mild and unoffensive, but often hilarious).
My Mom, who loves British TV, has been raving about Doc Martin.
Worst Week of My Life, starring Ben Miller from the Armstrong and Miller Show and Primeval.
I second Yes Minister/Prime Minister and would add Jeeves and Wooster.
The Detectives. A bit obscure, but brilliant.
classics:
porridge
blackadder (avoid series 1 - start at series 2, it’s all great from there.)
only fools and horses
red dwarf (gets poo after about four series though)
yes minister
modern:
peep show
the office
brasseye
the day today (spoof news show)
knowing me knowing you with alan partridge
i’m alan partridge (watch these after “the day today” and knowing me, knowing you)
the royle family (may not cross the channel well though - you’ll either love it or not even know why it’s called comedy!)
edit: agree with the detectives too! the first dvd was amazing! the second was rubbish though
i think coupling is pretty poor really. the odd funny moment, but largely incredibly contrived and poorly acted. guess that’s just me though 
same goes for inbetweeners
ooh, forgot phoenix nights - one of the greatest comedies ever made
Porridge
Open All Hours
The Fall and Rise of Reginald Perrin
Rising Damp
Darling Buds of May
And written by Russell T Davies, him what brought back Dr Who.
Takin’ over the Asylum is well worth looking out for. Featuring a rather younger David Tennant.
This Life may have rather too much gratuitous sex in for trans-Atlantic tastes, but it was brilliantly well written.
Look Around You is a work of ever so slightly not right genius
Absolute Power is good, but not as good as it was on the radio.
House of Cards and its sequels To Play the King and The Final Cut are excellent political thrillers.
So is Between the Lines
Doctor Who? Either the original series, which started back in the sixties and ran through the eighties or the new series which began in 2005.
Not sure where to begin with someone who likes Fawlty Towers but not Benny Hill or Monty Python.
In addition to those already mentioned:
The Fast Show (genre-defining catchphrase-based comedy)
Harry Enfield and Chums (prototype to the above)
The IT Crowd (filmed in front of a live studio audience, sitcom about IT geeks)
What, no mention so far of Spaced?
Edit: woops, post #10.
I would recomend Kingdom. Stephen Fry is a market town lawyer (or whatever you call them in England) Quirky characters and Fry what more do you need?
I quite liked Misfits as well. 4 kids on probabtion who get zapped with super powers. Not your traditional super hero show. These kids are hilarious and complete fuck ups.
I second Spaced as well. Great show if you liked Shaun of the Dead.
Then there’s always Black Books.
The original (1967) version of “The Forsyte Saga” with Eric Porter, Nyree Dawn Porter, Kenneth More and the always delicious Susan Hampshire. A pity it was black and white but they got the right cast.
MI5… I love this show… and I’m currently waiting for the production of the next season. Several things I like about this show… the Americans frequently come off as total sonofabitches… theirs a total different perspective… the scenery and action kicks ass as well…
Also… they have absolutely no qualms about killing off a lead character. Unlike American tv where either you heard such and such is in a contract squabble and is gonna get killed off… or wants to go make movies. MI5 will just move someone else right in there…
Just adding my vote for House of Cards. When I first saw it, I did not realize that there were two sequels, so my jaw dropped at the end of the first one. Not the ending I was expecting.
I also like MI5. I like Matthew MacFayden as an actor (and wasn’t he great in Little Dorrit?), but
I think the series improved when Rupert Penry-Jones took his spot on the team. They have some…uh…unusual ideas about how computer security works, but otherwise I like the show a lot.
I agree that Coupling has preposterous plots, but I found it sweet and funny, and I liked the characters. The setup sounds like Friends, but while I wanted to stab every character on Friends, I liked Coupling.
When I want to turn my brain off and revert to adolescence, I enjoy Little Britain also.
I actually enjoyed Manchild. Tony Head was marvelous in it.
Ballykissangel was excellent as well.
Allow me to add another vote for House of Cards–it’s brilliant, and Ian Richardson as Francis Urquhart is so deliciously, delightfully, and affably evil. I cannot imagine that the Netflix version will be able to hold a flickering match, much less an entire candle, to the brilliant sun that is this series.
I’ll also recommend Mongrels, a puppet show for grown-ups. Sometimes raunchy, always hiliarious. There will be a handful of UK-centric pop culture references per episode that will most likely fly right over your head, but there’s more than enough that’s universal to keep you laughing. Dunno if it’s quite right for your style of humor, but it’s not Benny Hill or Monty Python. (It’s not Fawlty Towers either.)
And I’m shocked that no one has mentioned QI yet. Quiz show featuring a rotating panel of UK comedians, hosted by the brilliant Stephen Fry. The questions are intended to be more or less impossibly obscure, so the panel gets points for “interesting” (and factual) responses, regardless of whether they’re actually responsive to the question. They also lose points for giving the obvious/conventional/boring and wrong answer. Entertaining and “educational”. Learn why the Bishop of Canterbury’s left ear is like Adam’s navel!
Clips of *Mongrels *and (as of last I checked) full episodes of *QI *are available on YouTube.
…no, really… who’s paul ross?