This strip manages to replace the Totally with Epic. King Radical is a recurring character riff on the trope, a villain known for such deeds as hijacking trucks carrying "Xtreme snacks." Subverted with that example when the Doctor finds a note from Radical in the truck stating that while his guess was good, Radical prefers fresh and locally-grown organic food.
The Radical Lands where King Radical comes from parody it to the extreme again. The whole place is run on the Rule of Cool, exaggerated so much that even the sun wears sunglasses. The characters there are, like King Radical, obsessed with coolness, without regard for its sliding to ridiculousness. At one point, the people next in line for the Radical Throne were titled (with a bonus playing card motif) Sir Cowabunga of Clubs, Dame Dudeical of Diamonds, Sir Sicknasty of Spades, and Sir Hellacious of Hearts. Also, the world of McNinja is literally on the dimensional half-way point between a world like ours and a world like Radical's. This explains most of the radical-made-mundane stuff that happens all the time.
Parodied in Jet Dream. Cookie Jarr, the nerdy boy turnedAction Girl, speaks in a Bob Haney-esque incomprehensible dialect — "teen slang" as imagined by a middle-aged comic book writer circa 1970. She uses/misuses bits of slang from anywhere between 1950 and 1970, as well as some slang never uttered by a single human being, teenaged or otherwise, before or since.
One of Cyanide & Happiness' animated shorts makes fun of the use of this trope in 90's commercials directed at kids. It involves a skater punk doing insane stunts and screaming his own made up slang ("Scrumpaduchious!") every several seconds. Eventually he loses control of his board while screaming the made up slang and lands on his head, putting him in a permanent coma.
Trickster of Heroes of Thantopolis in a nutshell. This shades and backwards-cap wearing ghost's first three lines are "Yo!" (last panel), "'Sup, Dawg?" and "Hold the phone, Bro."
Dave Strider of Homestuck talks in a manner like this as part of his "ironic" style. In response, Terezi likes to send him pictures like the one on the top of the page with Dave's shades and t-shirt logo crappily scribbled in and ask D4V3 1S TH1S YOU?.
DAVE: so im like popculturally frozen in that period
DAVE: all my references feel like they might be getting a little stale
Given how the author seems to be stuck in the 90's, Sonichu seems to use a non-ironic version of this trope, like "da update".
Gleefully embraced in The Inexplicable Adventures of Bob! in the Ninjas storyline by the eponymous ninjas, who speak in a torrent of ridiculous phrases and unapologetic abuse of sentence structures. There's considerable Lampshade Hanging, and the comic mascot 'Grammar Squirrel' is reported as rendered unconscious after several pages of the ninjas speaking.
L's Empire has Shortstop, Fastball and Lady Lima (or the L'ster, as she calls herself). Lima does it to sound hip, but no reason is given for the other two.
In The Order of the Stick, the Northern Gods and Demigods vote for or against the destruction of the world. Most of them give their reasons in formal, vaguely archaic language. Iounn, Demi-Goddess of Youth, however, thinks the destruction of the world "sounds, like, totes lame".