Vavoom from the Joe Oriolo Felix the Cat cartoons has this as his main character trait. His voice is strong enough to shatter boulders, create avalanches and drill tunnels through solid rock. In Vavoom Learns How To Fish, a man tries to trap Vavoom under a garbage can and sit on it, but Vavoom uses his voice to blow him away so hard, that according to bystanders with telescopes, hes been sent flying into orbit.
This is Black Canary's only power (see the page image).
The minor villain Colonel Vox had this power and couldn't turn it off, and so required a mechanical voice box for regular speech. He's basically a pastiche of a Bond henchman, so it comes as no surprise that this ultimately gets him when it comes time for the karma to kick in.
In the episode "Hidden Talents" Kim Possible is entered into a talent contest by her sidekick Ron, which she's not happy about because of her awful high notes. It turns out her singing can break six feet of ice, useful when the villains trap her under that, though never mentioned again.
In one episode, Eek! The Cat tries to get the lemons while climbing on a lemon tree at Sharky's backyard, but fails and eventually falls into a thorn bush, which prompts him to scream so loud that the camera shakes and the lemons fall off of the tree and bury him.
Subverted in The Simpsons, when Lisa trains her voice for an "American Idol" competition. Just after she appears to break a glass by hitting a high note, the camera pans out and Homer says that he was shooting the glass with a BB gun every time she did so.
In another episode, Homer unleashes a loud "D'oh!" that causes considerable damage throughout town.
Train Conductor: I told 'em to make these tracks D'oh-proof!
He also uses his scream to subdue the vet who sent his parents into space and defeat him once and for all.
The EVO Circee in Generator Rex can shout with varying intensity at most any frequency. The can knock people back, create horrible noises, and hit resonance frequencies to shake things apart.
It was said that in an off-scene incident, she accidentally hit the natural resonance frequency of cotton and blew a bus driver's pants off.
The Garfield and Friends segment "Screaming with Binky" revolves around Binky The Clown disturbing someone who is doing an activity that requires concentration.
In the Adventure Time episode "Wizard Battle", Finn lets out a Big "NO!" so big it knocks out Abracadaniel, earning Finn victory in the eponymous Wizard Battle. It also earns him mockery for using a Power Shriek, "the most shameful form of magic."
In a Wing Dings blackout, Dick Dastardly invokes the line as he protests the squadron's lack of activity during some downtime. He shouts "IT'S SO QUIET YOU CAN HEAR A PIN DROP!!", followed by Muttley rolling a bowling ball at a pin which knocks Dastardly out cold. Zilly quips, "That's one pin he didn't hear!"
Dutch's car Whiptail in Motorcity is able to do this.
SheZow has his/her Sonic Scream power (the strongest out of all of powers), it can do anything from breaking every piece of glass within a five mile radius, to destroying really big boogers, to being a pinpoint concussive blast.
Young Samson & Goliath. When the dog Goliath is changed to his lion form, he can make a roar that selectively destroys objects in the nearby area.
Elsa the ghost angelfish from "Wake, Rattle, and Roll" can cause people to go flying and objects to break with her shouting.
Freddie from the American Dad! episode "A Ward Show" every time he's upset he lets out a high pitched shriek in which the frequency is strong it causes people's eyes to pop out.
One episode of Mighty Max featured an indestructible Norse god Max nicknamed "Lockjaw" due to his jaw literally being locked shut for good reason: he had this trope for an ability, and he's chasing them for the key to unlock his jaw. Unable to destroy him due to his immortality, Max eventually figured out a way to turn his power against him, and allowing him to uncork his full fury in a landslide zone, causing massive debris to bury and contain him.
In Star Wars: Clone Wars, Ithorian Jedi Master Roron Corobb was able to let loose a roar from his dual mouths that bowled over General Greivous' assassin droid's and nearly knocked over Greivous himself. (But he was winded for a few minutes after doing so.) Given what Shaak-Ti said, this sort of thing is common to Ithorians, but Corobb's was amplified by his Jedi skills, making it "as powerful as any Force blast".
Kaeloo: Both Bad Kaeloo and Mr. Cat can yell loud enough to send people flying into the air.
Yaarp (Experiment 613) from Disney's Lilo & Stitch franchise is designed to emit really loud and deafening sonic blasts from the foghorn-like antenna on his head. In his debut episode of Lilo & Stitch: The Series, he made Stitch, who has super hearing, go temporarily deaf with a sonic blast. Only Pleakley could be able to capture him because the Plorgonarian relies on his antennae for hearing, making him immune to the experiment's sonic blasts. Thankfully, Yaarp is also a friendly sort once he reforms, as he makes adorable gentle honks when he feels happy and safe.
Parodied in Avatar: The Last Airbender during "The Ember Island Players" when the actor portraying an exaggeration of Toph reveals that he uses his voice ti see, rather than his feet like the actual Toph did.
Toph Player: I see everything that you see, except I don't see like you do. I release a sonic wave from my mouth. AHHHHHHHHHHHHHHHHHHHHHHHHHHHHH!!!!! There. I got a pretty good look at you.
PJ Masks: The Wolfy Kids can create sonic waves with their howl.
Steven Universe: In "Change Your Mind", a pink version of Steven forms from his gem after White Diamond removes it from him, and his yell manages to blow even everyone (even White) back and creates a small crater around him.