The reason "Bring me a shrubbery" is funny and why people endlessly quoted Holy Grail is because almost everyone in the US watched Monte python at one point or another. Part of what made people do those quotes is the fact that regardless audience, you know you'll get a laugh because they too know the context for the phrase.
I don't think there's a single piece of media like that. Not at least in the last 10 years. I mean, funnily, I think you've nailed Skibidi as a rare exception, at least for the younger generations.
I haven't seen anything like them on TikTok and I'm on there enough to have noticed. Maybe you're talking about the dumb alien short videos of them telling a joke to each other and snickering, that doesn't compare.
OP asked for "newer", and yet you've not named anything created in the last 10 years. ( And named a 30+ year old improv show, which is definitely not the format I'm talking about. )
You're not alone, one second-cousin comment even went with the phrase "more modern", then named a range of shows that are at least over 20 years old. Green Wing was the 90's, that's closer to the time of Python's Life of Brian than today.
Clearly things aren't fine if there isn't fresh blood coming through.
Sketch shows never were the best of TV, they are a format where you throw a lot out there and then the very best bits of each episode might be particularly funny, with a bunch of filler in-between.
That can't compete with a medium where people just swipe the second they're not finding a particular piece funny or to their taste.
I've never heard of these shows, where are they out of?
>we must be living in different worlds.
While I'm not on social media like that, I do think so.
Beyond the first minute or two, I'd not class Skibidi Toilet as any kind of humor. It's a serialized silent (late-era-style silent with synced foley but no dialog) sci-fi action war epic told without intertitles.
The sketch show format has been pretty much entirely killed off by TikTok & Instagram.
It's very hard to do a sketch that hasn't already been done on TikTok with a tiny fraction of the budget.
Absurdist humour still exists everywhere, it's less popular than either Python in the 70's / 80's, or the flash era in the 2000s, but it's still everywhere, but I'd also wager it is not to your taste.
At the risk of offending just about everyone, I would suggest that something like "Skibidi Toilet" is just this generation's badger-badger-mushroom, which in turn was that generations' "Bring me a shrubbery!".
Sketch shows in particular don't work well for TV in this era. Mitchell and Webb tried hard to return with one this year and it just fell flat, the jokes feel telegraphed from a mile-away, taking a minute to get to a punchline in a era when the same jokes are told in a 10 second short.
The downside of the tiktok/insta model, is that the more successful people on Insta end up just re-telling their one good joke over and over. ( Or indeed, re-recording someone else's one good joke. ).
Not that sketch shows didn't also repeat jokes sometimes, but they could at least play around with a punchline in unexpected ways, or have callbacks and nods to earlier sketches in a series. That kind of non-continuity doesn't work when you don't know which tiktoks will go viral, or which order your audience will see them in, as the algorithm dictates all.