These are what we call the 'YMMV items.' Things that some people find in this work. We call them 'your mileage might vary' because not everyone sees these things in the same way. This starts discussions in the trope lists, a thing we don't want. Please use the discussion page if you'd like to discuss any of these items.
YMMV: The Cosby Show
Alternative Character Interpretation: There are times when Clair can really be something between a control freak or outright tyrant. While it's most often Played for Laughs in her not allowing Cliff to do some things he wants and in other cases, but it really isn't appropriate for her to call ahead to a store where Cliff is a regular customer and telling the owner not to sell him anything; it hurts the guy's business and she has no right to make that kind of demand as it's not her property. The punchline of this every time it comes up is the fact that Clair is a lawyer and she'd find some way to get back at them.
One episode in season 3 supports this as we learn just who Rudy got her incredibly bossy attitude from.
Theo also brings this up in one episode when he flat out tells Cliff, "Your wife won't let you do anything." That degree of control may also be why Theo himself views marriage as the place where the romance goes to die.
Award Snub: Bill Cosby himself stated that Phylicia Rashad deserved an Emmy for her performance on the show numerous times, but was never even nominated.
In the "Lookback Special," Cosby again mentioned this, but then said (paraphrasing), "When you look at the kinds of things she'd be up against today, she doesn't need it."
Big Lipped Alligator Moment: Clair, what are you doing behind a giant teddy bear in the living room? Yes, it was used for Season 3's Hide Your Pregnancy but it had absolutely no connection with anything in the episode nor is it ever brought up again.
One episode in Season 6 has Clair going away for a weekend retreat due to stress. As she leaves, the girls chant "Go, Mom!" repeatedly. It's a moment that doesn't match up with parting scenes from previous episodes, contributes nothing to the greater plot, nor is anything like it done again for the rest of the series.
Crosses the Line Twice: So a taxi carrying a pregnant lady crashes into Dr. Huxtable's car and he has to deliver her baby right there. Despite the adrenaline rush of an emergency situation for the characters, it's made hilarious for the audience.
Designated Villain: Elvin was this when he was first introduced as a Straw Misogynist. Sure, he did and said a few stupid things (like forgetting he had a date with Sondra, or claiming that baking and cooking was a "women's job"). But really, the guy was a harmless doofus, who never would have hurt Sondra on purpose. And yet, her parents treated him as if he was the biggest scum on Earth. But it later got better, and Elvin got married to Sondra.
Ensemble Darkhorse: While many people see Pam Tucker as an example of The Scrappy, you can also see her as a welcome bit of fresh air in a show, that would last only two more seasons anyway. So she's more of a Base Breaker. Despite how the show always was set in New York, it wasn't until when Pam showed up in the 7th season, that we got a regular view of what it was like to live in a ghetto neighborhood. She had obviously had a rougher life than Cliff's and Claire's own kids, and she could be seen as much more down to Earth than her cousins.
Hilarious in Hindsight: In season 6, Martin says he's excited about the prospect of seeing B.B. King perform live (but ends up not getting to). Later in the season, in-universe character Riley Jackson, played by B.B. King, performs for the family.
Several years after the show ended, Joseph C. Phillips, Martin's portrayer, was cast on General Hospital. Shortly into his tenure, BB King made a guest appearance on the show.
In the pilot episode, Heathcliff calls out Theo for being lazy and not performing up to his ability in school, to the cheers of the audience. In reality, Theo's real life counterpart Ennis was later diagnosed as dyslexic, showing that his problems in school were due to a learning disability and not laziness. The condition was worked into Theo's character as well, so it's hard to cheer for Heathcliff's parenting in this scene on later reflection.
"Theo's Gift," the episode where Theo finds out that he's dyslexic. While the episode finally did explain why Theo struggled so much in school, his diagnosis is mostly played for laughs.
Bill Cosby himself said this happened as early as the third season when, after Phylicia Rashad had her Hide Your Pregnancy time, Cliff and Clair's onscreen romance moments become much less frequent.
The Scrappy: Olivia was introduced in the 6th season, just so they could have a new "cute child". But she was very close to becoming a Creator's Pet, and she often acted as if she was much older than she was.
Cousin Pam, who was introduced in the 7th season, has a hatedom as well, as she too came in from nowhere to be a regular. But a few fans see her an Ensemble Darkhorse instead, which would make her a Base Breaker.
Seinfeld Is Unfunny: The many, many imitators that have come since make even the best of Cosby episodes seem stale and dated.
Small Name, Big Ego: Cliff honestly believes that he is the most distinguished graduate to ever come out of Hillman College.
Vanessa has a moment when she thinks the tryouts for drum major were redone because people saw how good she was and protested.
Spotlight-Stealing Squad: Once Lance becomes a regular character along with Pam and her group in seasons 7 and 8 it's hard to find a single scene where he doesn't deliver a hilarious line.