Some classics:
Blackadder
Bottom
Cheers
Frasier
MASH
Some current-ish:
The Good Place
QI
Community
The Detectorists
The Big Fat Quiz Of The Year
Runners Up:
8 Out Of 10 Cats Does Countdown
Spaced
Psych
Better Off Ted
Brooklyn Nine Nine
Arrested Development
Cheers
Freaks and Geeks
Seinfeld
Third Rock from the Sun
Curb Your Enthusiasm
How I Met Your Mother
30 Rock
Schitt’s Creek
It’s Always Sunny
In no particular order.
Some interesting choices for funniest shows of all time.
[QUOTE=OP]
If you have a show you think I’d like based on my list and likes and dislikes here, feel free to tell me about it and I will try it (someday, although possibly not right away).
[/quote]
Based on this, I’ll submit (as mentioned up thread) “Arrested Development”
It’s in the same style of the shows you mentioned so I think you’d find it funny.
I also think you might enjoy**“You’re the Worst”** on the FX network - dark, twisted humor with really messed up characters.
My personal top ten funniest shows, (in no particular order; variety shows like SNL not included) FWIW:
Friends - It’s hopeless and awkward and desperate for love!
Archer - Phrasing!
MASH - Best one liners from Alan Alda
The Honeymooners - Bang! Zoom!
Roseanne - Becky. Cut. The cheese…
Modern Family - Why didn’t I wear my SHANTS!?
Family Guy - We have some very strong head winds…giggity.
WKRP In Cincinnati - As God is my witness…
Night Court - I think we’re shaving this a little too close…
SOAP - Brilliant, controversial and way ahead of it’s time
More votes for Spaced and Arrested Development as the best modern-era comedies.
So take it up with the people who made Cheers and were inspired by Fawlty Towers. They saw the advantage of having a show set in a business where random people could come in. I didn’t say it was the first to be set in a bar.
I don’t have to. I’m taking issue with your suggestion that this was an innovation:
At the time the Cheers creators were making the show, there already was a Bar show (spun off from the All in the Family you mention, no less) that used that public setting with people walking in off the street creating plot. It was already there, in a bar.
Parks and Recreation is definitely worth checking out. I have no idea why, but my husband and I didn’t watch it when it originally aired. My daughter was recently watching it on Netflix and I started at about half way through season 3. We finished it and last night went back to season 1 because I’d like to watch it all the way through. The earlier ones so far (only watched a few) are not as funny imo, but it’s setting things up. I’m really glad I’ve decided to check it out.
I absolutely second or third Who’s Line is it Anyway. Someone also mentioned Barney Miller, that was excellent.
This is what a friend of mine calls a “distinction without a difference”.
I gave examples of shows set in families at the time. I never used the word innovation and didn’t say Cheers was the first show in a bar. I merely gave a cite that the makers of Cheers were inspired by Fawlty Towers, took note of its public setting and emulated it.
So as Basil Fawlty said, “if you trouble us again I shall visit you in the small hours and put a bat up your nightdress!” 
What audience are we considering? Most nerds, for instance, find The Big Bang Theory hilarious, but I expect (though can’t be certain, being a nerd myself) that a lot of the jokes probably fall flat for non-nerds (or at least, non-nerds who don’t hang out with any nerds). On the other hand, the humor in, say, I Love Lucy is pretty much accessible to everyone.
My all-time Top Ten funny shows:
Monty Python
Seinfeld
Frasier
Friends
Archer
Rick and Morty
Scrubs
The Big Bang Theory
Roseanne
Whose Line Is It Anyway
I’ll also add Father Ted (one of the funniest shows ever for me).
Also, the first season of Mork and Mindy. It went downhill fast after that, but a lot of the first season was comedy gold.
I’m in agreement that the Richard Simmons segment of Whose Line? is probably the funniest thing on TV. I *hurt *myself laughing at that the first time I saw it.
One more: I normally wouldn’t include *Bewitched *on a list of funny shows, but there’s one segment, where Uncle Arthur tries to teach Darrin magic, that puts me in tears of laughter no matter how many times I watch it.
We’ve got a pretty good survey going here, but one that I haven’t seen mentioned is
The Odd Couple (original Tony Randall/Jack Klugman version)
Some of the funniest can’t breathe because you’re laughing so much moments.
Aside from that, I still put MASH, **Barney Miller **and Soap at the top of my list.
But if we can expand out of sitcoms, no show has ever made me laugh as much, as long, or as loud as The Colbert Report. (My landlady actually asked me what was going on at that time that made me laugh so much.)
I’d say Jack Benny, Carol Burnett, Dick Van Dyke, Monty Python, Night Court, and MASH were some of the regularly funniest shows I’ve ever watched. I suspect many of you are too young to have watched the first or first two, otherwise they would have been mentioned. They, of course, were not sitcoms like most of the shows being mentioned.
Some portions of the Tonight Show by Johnny Carson literally made me cry I laughed so hard. The funniest things were almost always ad libs or spontaneous and not written skits.
Oh, yes! The Karnak bit about “Sis Boom Bah” (“Describe the sound made when a sheep explodes”) was one of the funniest things I’ve seen in my life. I thought the audience would never stop laughing.
Oh very much yes. I once pulled a muscle laughing at a Father Ted visual gag.
Seinfeld
Modern Family
Friends
Blackish
The Office
Big Bang Theory
Lucifer (not strictly a comedy by Tom Ellis is funny as hell)
SNL
Will & Grace
The Tonight Show with Jimmy Fallon
I know he’s out of favor these days but I’ve always thought benny hill was funny in a lowbrow sort of way (and he did the most perfect cover of “runaway” I’ve ever heard)
There’s an episode of The Goodies that allegedly caused a man to actually laugh himself to death.
One of my favorite one-off episodes was Overkill from the anthology series Murder Most Horrid. Dawn French plays a woman who’s despondent and preparing to commit suicide. Into her life comes an assassin played by Amanda Donohoe. For convoluted reasons, Dawn takes on Amanda’s mission to kill a business executive, tricked out with all of Amanda’s high-tech gadgets and an earpiece so they can communicate. The death toll is at least a dozen. It’s hysterical.