American comedy movies I will laugh at to this day:
Animal House
Airplane!
Blazing Saddles
British comedy Movies:
Monty Python (most-Holy Grail, Meaning of Life being my favorites)
I will say this- back in the dark ages, PBS played the Monty Python series, and we would go into school the next Monday and quote the best bits to each other.
I've seen MASH so many times that I know every episode plot on sight. Golden Girls (1985-1992) and Bob Newhart (1972-197

are also entertaining enough I will stop and check which episode it is. SOAP was hilarious (Billy Crystal as a closeted gay twink!) and occasionally I'll binge watch a few episodes. Drew Carey was funny, great cast.
Other than Monty Python, UK TV comedy of the same era seem very class-oriented. Which isn't something Americans easily relate to.
To the Manor Born comes to mind. However, I loved Absolutely Fabulous, Father Ted is pretty funny, Black Adder was also shown on PBS (though the Olde English accents were sometimes tough to understand) , as was Fawlty Towers. PBS picked up a great deal of BBC content in the 70's, so maybe we saw more of your stuff than you saw of ours.
ETA: as much as you complain about US comedy, you fuckers put out Benny Hill. Pot, meet kettle.