In Gilmore Girls, at one of their town meetings, the quasi-mayor Taylor drives Jackson bonkers by requesting ridiculous amounts of red tape, effectively sabotaging the greenhouse Jackson had built. When it comes to Taylor saying he (Jackson) should have built it "6 inches to the left" in order to comply with regulations, Jackson gets sputtery and almost hiccups with anger. His wife Sookie says: "Okay, that's not English, hun."
Jon Stewart, on The Daily Show, will regularly lose control of his jaw and gibber something brief, incoherent, and clearly either angry or disbelieving before reasserting self-control.
Perhaps the best example was when the media were hammering New Jersey. After a point, he simply named the segment "Hey C'mon That's Not...Why Would You...Whoa!"
The Inbetweeners: "Yeah, well, you're the sad, because...TWAT! You're such a little...FUCK! SHIT!"
The Russo dad on Wizards of Waverly Place, so much that it's become almost a catchphrase. Lampshaded in one episode where Justin claims that they can always tell their dad is angry when he begins speaking this way. The final word in the sentence is always "ALEX!" while pointing accusingly at her.
Speaking of Rebel Russo, she tries to provoke this in Justin. During the Stevie Saga, she replaces his jazz band with rock, just to see him explode. It's even better because Justin knows she's doing it, which makes him even angrier.
On Will and Grace, Jack when he's in angry "howler monkey" mode is a particularly shrill version of this.
One time, when he was particularly angry, he stopped making noise at all and went into dog whistle territory.
That was a sarcastic question Titus asked Erin when she used Angrish to cover up something she did.
Also in the final scene of the Season 1 finale, Titus's hospital-ridden dad goes into this again when Titus reveals he tricked him into shaving his nether region by a nurse. Titus starts to mock his father's sputtering rage ...until he realizes his dad is actually starting to have a heart attack.
I figure the "what do you know about Hitler" thing is frustration that he's been replaced with Olly types who lack real education and experience, but who knows.
On The West Wing, a show known for its witty, even verbose dialog, Toby Ziegler was arguing with a woman who continually interrupted the conversation with descriptions of shocking and offensive artwork. As she began to cite an artist who "specializes in placing genitalia in anatomically incorrect..." Toby cut her off with a rare outburst of Angrish.
While you couldn't understand him half the time anyway, DonVito from Viva La Bam frequently fell into this.
One episode of Friends features Monica and Rachel sharing their feelings. Monica starts off weepy, and then her voice gets ever more shrill until Rachel finally admits she has no idea what Monica is actually saying.
Monica also does a genuinely angry one of these to Ross when he annoys her by always hanging around her apartment (because he's dating Rachel), and he tells her she's "gone ultrasonic again."
Spencer on iCarly gets one of these when he comes home to find Carly sucking face with the resident Bad Boy Griffin.
In Mel Brooks' regrettably short-lived series When Things Were Rotten, a sendup of the Robin Hood myth, the Sheriff of Nottingham (Henry Polic II) in moments of extreme frustration would give way to this. Those around him would have to remind him, "Sheriff — you're not talking."
Which would make the Men in Tights example in Film a Mythology Gag!
In Greg the Bunny, Greg taunts Jimmy's new girlfriend to the point where she can't speak straight. When he mocks her to "put a coherent sentence together, sweetheart" she responds by flushing him down the toilet.
Similar to Monica in Friends, when Eliot in Scrubs gets upset, her language shifts into a high pitched whine that only Carla can understand.
In the series finale of Studio 60 on the Sunset Strip, Lucy is so overwhelmed with emotions when her boyfriend Tom's brother is successfully rescued from a hostage situation in the Middle East that she can only speak in a blubbery, incoherent mumble, only decipherable by Cal.
On Dirty Jobs, Mike Rowe occasionally slips into incoherence when faced with a particularly appalling task, such as the time he had to wrestle the huge, unwieldy stomach of a dead cow into a trash bin full of decomposing tissue and maggots.
In one episode of That '70s Show, Red is forced to fire an employee for constantly showing up late. When the employee asks why, Red answers with angrish that over time turns satanic.
In "The Scorpion and the Toad" of How I Met Your Mother, when Ted hears how well Lily has been doing without Marshall, he has a moment of being unable to speak coherently.
Mostly Frasier, but the other cast sometimes suffer this, too.
From Roz And The Schnoz, Roz has been having a Heroic BSOD the entire episode when she sees how massive her unborn child's grandparents' noses are.
Frasier: You know Roz, in spite of a rather shaky beginning, I think this evening's turned out rather well.
Roz:(calmly at first) Oh yeah, and you were absolutely right, Frasier. Now I can see some of the qualities my baby can have. A great sense of humor... a sweet disposition... (angrish)a nose like an ANTEATER!!