I suspect, but mostly from the 20th century:
Everybody Hates Chris: A very rare sitcom that absolutely works for the whole family, from tweens to gramps.
Only Fools and Horses: Somehow, an 80s English show that reminds me of a 1970s American show, Sanford and Son, that's based on another English 1960s show (Steptoe and Son)
Andy Griffith: One of the best-written and sweetest sitcoms of all time with influential performances by West Virginian Don Knotts that were copied by countless comedians for years to come.
All In The Family (unusually, improved a British sitcom, Till Death ...): Fearless, still relevant, offensive, at times heartbreaking, hilarious.
Curb Your Enthusiasm: Seasons 1-5, after that it fades, but smartly written and improvised.
Good Times: Not sure if this ever reached the UK. Mid-1970s family sitcom about a working class black family in the Chicago projects.
SpongeBob Squarepants: Incredible and sometimes surreal, another show that plays to completely different age groups at once. A perfect show for younger parents to watch with their kids.
Flight of the Conchords: So funny.
Barney Miller: Probably the most realistic comedic TV depiction of 1970s police work. Totally captures 70s New York.
Still, love your list.