South Park: In "Dances With Smurfs", Cartman accuses Wendy of slaughtering a Smurf village for Smurfberries to power the school. Her response? She goes along with the story, and quits her position as student council president, so Cartman can be put there and the Casey Kasem-sounding kid can get his job as morning announcer. She even set Cartman up to look like he was an undercover spy that worked for her to infiltrate the smurf village. And got it made into the movie Avatar.
"A Ladder to Heaven": Saddam Hussein plots to bomb Heaven with nuclear missiles. In a brilliant stroke of reverse psychology (or, rather, reverse-reverse psychology), he makes his nuclear weapons plant look like a chocolate-chip cookie factory. God, who rightly suspects that Saddam would never attempt anything as harmless as just making chocolate-chip cookies, points out that what Saddam is building looks an awful lot like a weapons plant to him. Saddam's response? "Look, if I were going to build a weapons plant, I wouldn't make it look like a weapons plant. I'd make it look like a chocolate-chip cookie factory, or something." God falls for this boneheaded line, and leaves Saddam alone to continue his project!
"Ginger Kids": When the gang gets fed up of Cartman picking on ginger kids they dye his hair red in his sleep to teach him a lesson. Tricked into believing that he was now a ginger but unwilling to admit that his actions were wrong, Cartman rallies the other ginger kids into a 'red power' movement so that they can round up and kill all the non-gingers. Just before Kyle can be executed he whispers the truth to Cartman, who then manages to persuade the room full of bloodthirsty redheads that his views have flipped 180 from what he had been advocating just seconds earlier, and he ultimately gets the room dancing and singing about tolerance and harmony. One of the gingers makes the connection between Kyle's whisper and Cartman's change of heart, but he's overruled.
"Here Comes the Neighborhood": When Token gets lonely being the only rich kid around, he convinces other rich families to move to South Park. They just happen to all be black. The South Park folks try to get rid of them by, among other things, lighting a lower-case "t" on fire in one of their lawns (for "time to go") forcing them to sit in the front of the bus, and dressing up in white sheets with pointy heads (because there's nothing rich people fear more than ghosts). Throughout the whole episode, race is never brought up; the persecution is only for being rich. Until the very end. After they drive the rich people out of town, Mr. Garrison wants to sell their mansions and become millionaires, and the others call him out because then that would make them rich, and become the very thing they hate. Mr. Garrison replies with, "At least we got rid of all those damn ni—(End Credits)"
It's the jazz hands at the end while Kyle's mom is standing right behind him that really sell the final punch.
"It Hits the Fan" intentionally did this on a level with the Comedy Central executives. After an episode of NYPD Blue said shit on primetime television, Matt and Trey asked if SP could. They were told no, and then asked "but what if we said it like...200 times within a single episode?" The member of the censor board thought that such a thing would be so over the top that no one could take it seriously, and so he let them do it.
"Butterballs": No one suspects that Butter's grandma is the one bullying him. A school administrator is easily tricked into thinking that Butters lured his grandma into the boys bathroom.
In an episode of The Fairly OddParents!, Timmy and a juvenile Catman skip school and are pursued by the authorities. Catman comes up with an idea to hide in Timmy's treehouse, based on the logic that it's so obvious no one would suspect it. It doesn't work.
This is part of the reason the titular boys in Phineas and Ferb are able to get away with most of their once-an-episode schemes. Any attempt by Candance to bust her brothers is futile because besides the laws of universe working against her to remove any physical evidence, nobody will believe that two kids to be capable of the boys' endeavors.
Phineas takes advantage of this trope to gain adult help with their constructions. They'll usually ask, "aren't you a little too young to be doing [insert whatever the boys are doing]?" Phineas will simply reply, "Yes, yes I am." Everyone just goes with it.
Almost Once an Episode, a human tells Pinky and the Brain that they don't look like whatever they're supposed to be disguised as. Brain invariably responds by saying that they're megalomaniacal escaped lab mice, which leads to the questioner to either laughing it off or brushing them off as weirdos. In either case the questioner lets them go without another word.
In the King of the Hill episode "Tankin' it to the Streets", the otherwise Butt Monkey Bill Dauterive does this while trying to return a tank he stole from his army base while drunk. A few miles short of their goal, they are pulled over by two police officers. Bill, his arm in a cast and wearing nothing but his boxers, emerges from the tank and convinces the two officers that they should forget ever having seen the tank. He gets the female officer of the duo to go on a date with him.
In Star Wars: The Clone WarsBounty Hunter Cad Bane kidnapped a Rodian Force-sensitive infant from his mother in "Children of the Force". He tricked the mother, by disguising himself as a Jedi, and claimed he had to take the child from her, because impostors posing as Jedi had been kidnapping other children.
'The Legend of Korra managed to get themselves kicked off of Saturday Morning by having such things as terrorist attacks, electrocution, torture, and culminated in an incredibly violent season finale (with a Murder-Suicide to boot). Amazingly, the censors did not stop the creators from showing a full-scale battle with lots of people dying.