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.
Ear Worm: One an episode, but especially the Chicken Song.
"Funny Aneurysm" Moment: The sketch that had Margaret Thatcher wandering an empty House of Commons is regarded as a very moving piece of writing and probably the only time when they showed her any sympathy. It was seen by two Tory MPs, friends of Ian Hislop, who were so touched by it that they voted to keep her as party leader in the ballot when they previously planned on abstaining. Although this wasn't enough to save her from the axe, their votes proved to be the decider in tipping the scale towards a second round of ballots. So in over a decade, the writers actually did more to keep Maggie in power than they ever did to get rid of her.
Princess Di singing a version of "Heaven Knows I'm Miserable Now."
Ronald Reagan being portrayed as completely oblivious (and extremely forgetful), years before it was revealed he had the early signs of dementia at the time.
The sketch where Jimmy Savile is portrayed as a dangerous psychotic has become not so funny, following allegations that he molested and raped schoolgirls.
Funny Moments: The "Vegetables" sketch, David Coleman mistaking the opening credits of Grandstand for live footage of the Liverpool-Everton match...
Hilarious in Hindsight: Looking back on how Reagan was portrayed in the series, the parallels between him and George W. Bush make his sketches twice as funny.
As mentioned above, the Running Gag about John Major having an affair with a female member of the Cabinet (funny at the time because it was such a silly idea) became a lot funnier once we learned he had.
If only they'd picked Edwina Currie as the (un?)lucky lady instead of Virginia Bottomley.
The "Last of the Summer Wine" parody is much funnier now that most of the actors from it really are dead now.
A Running Gag featured the Chancellor of the Exchequer panicking over a crisis he allegedly caused. In Real Life, Nigel Lawson enthusiastically supported the infamous "poll tax" which led to a near-economic collapse in 1989.
The economic cycle has ensured that a great wodge of the 1989-1994 sketches and songs about falling house prices, currency devaluation, and economic recession have become just as relevant today.
In The "Princess Michael" Royal Family sketch, Prince Harry is seen wearing a Waffen-SS helmet. Prince Harry would later get into trouble with the press in 2005, for wearing a German military uniform and a Nazi swastika armband.
The Social Democrats contending that they could be part of the two-party system with the Tories and with Labour is pretty funny when their successors, the Liberal Democrats, ended up doing exactly that by forming a coalition with the Tories.
Seasonal Rot: Many believe the show lost its way after Maggie left.
Tear Jerker: The aforementioned sketch with Maggie crying. A few musical numbers qualify too, especially "We've Ruined The World" and "When You're 65".
Uncanny Valley: Those puppets became far more realistically looking as the seasons went on, with blinking eyes and puppeteers walking around with puppet heads on their own body for scenes that required such actions.