Best British Comedies From 2000 And Onwards. Page 2

I'm Alan Partridge.

No you're not.

Sorry.

Started back in the early 1980s, but perhaps Only Fools And Horses?

One Foot In The Grave, AbFab, Bottom...

Waiting For God
The Detectives
Keeping Up Appearances
Birds Of A Feather
Goodnight Sweetheart
Men Behaving Badly
2point4 Children

... I'm basically just listing every even mildly-popular studio sitcom of the 1990s now. But do check them out and see if any sound of interest.

The Vicar Of Dibley
'Allo 'Allo!
My Hero

The Thin Blue Line

Red Dwarf

Also these from the 80s which are very good:
Blackadder
The Young Ones

Back to the original post-2000s request, try My Family.

Time Gentlemen Please.

The Brittas Empire (90s)

My Family
Outnumbered
Not Going Out

My Hero?

I think The IT Crowd is worth watching

Peep Show.

I must have suggested it to 50+ non-Brits during my travels, and can only remember 2 or 3 who didn't absolutely love it.