Bugs is a walking fountain of this. Take for example, being able to defy gravity for comedy in the Friz Freleng short "High Diving Hare".
"A Wild Hare", Bugs's first official short, may well have been the CMOA for the entire series. As soon as Bugs walks off into the distance, playing his carrot like a flute, you just know things are never going to be the same in the Looney Tunes world again.
Carrotblanca can be considered one for the guys back in Warner Bros., for being able to insert so many of the Looney Tunes regulars (Bugs Bunny, Daffy Duck, Porky Pig, etc.) in a single short.
The very first Duck Season, Rabbit Season bit in the Looney Tunes episode Rabbit Fire. After the part quoted, Bugs pulls it off on Daffy two more times, but each time doesn't make the switch until just before Daffy calls on Elmer to fire. He's got Daffy figured just that quickly.
As awesome as many of the protagonist's victories were, it was even more awesome when one of the shorts' recurring Butt Monkeys finally got a victory over them (granted they were usually villains, but their sheer harmlessness and likable qualities made you desire at least one moment of triumph over their smug foes). Elmer Fudd (eg. Rabbit Rampage, Hare Brush) and Daffy Duck, even post-Flanderization (eg. Ducking The Devil, Mucho Locos) perhaps scored the most frequent and most satisfying victories.
To elaborate, Ducking The Devil involves Daffy luring the escaped Tasmanian Devil back to his zoo for a cash reward of "five hundred Gs"; Daffy succeeds, and when Taz snatches up a dropped dollar, Daffy charges into the Devil's cage, attacks him and WINS.
"I'm a coward, but I'm a greeedy little coward!"
Mucho Locos exists as perhaps the only cartoon where a foe actually defeats Speedy Gonzales, with Daffy whacking him with a mallet after hearing him tell one to many stories about "El Stupid Duck".
Rabbit Rampage basically involves Elmer beating Bugs at his own game he used on Daffy in Duck Amuck, taking the animator's chair and using his brush to morph Bugs and the cartoon to all manners of innovative torture.
My personal favorite is To Duck...or Not to Duck, with Elmer Fudd facing Daffy in a boxing match with another duck as the referee. Naturally, things are pretty skewed against him, starting from when the referee demonstrates all the illegal moves on him. Except at the end of the fight, Elmer points out that Daffy had done a few of those moves, and demonstrates the whole routine again against Daffy and the referee at the same time.
Another for Elmer comes in "Hare Brush", in the very surreal case of switching their roles. And, since Bugs believes he's Elmer J. Fudd, he gets arrested for owing a lot of money.
Elmer: I may be a screwy scwewy wabbit, but I'm not going to Alcatwaz!
Out of all the characters Bugs manages to outwit, Cecil Turtle is the only one who could basically outwit HIM... on three consecutive episodes no less! First he calls all his relatives to appear at different points of the race, then he convinces Bugs to make himself a 'super-fast shell' where a whole rabbit gang, convinced he's the turtle, goes out of their way to beat him up... and when Bugs finally manages to win a race, he gets arrested for going over the speed limit. Daffy, Elmer and Sam got nothing on this turtle.
The tale continues on The Looney Tunes Show, but this time...well, just see the CMOA page of that show...
A slightly Pyrrhic Victory, but admirable one no less in "Mouse Mazurka". Sylvester's prey dupes him into believing he's swallowed Nitroglycerin and spends the remainder of the episode tormenting him with no worry of retaliation, until he eventually causes himself to explode (having unknowingly swallowed the real deal). The narrator mocks Sylvester as he will never get the mouse now. "That's what you think!" Sylvester then swallows a similar bottle and deliberately detonates himself, before appearing before the angel mouse in cloud heaven and the cartoon closing on the continued chase. Sylvester's zeal excelled the point of killing himself just to get revenge on the little rodent.
"The Ducktators" has to be the best anti-Nazi propaganda cartoon from Warner Bros..
Sylvester gets a Crowning Moment in the Chuck Jones cartoon Scaredy Cat. Porky Pig and his pet Sylvester find themselves in a haunted house, where the mice terrorize Sylvester by throwing knives, bowling balls and other weapons at him and Porky. Porky, of course, is oblivious to the threat, until, fed up with Sylvester's seeming cowardice, heads into the kitchen to confront the source of Sylvester's fears. The mice end up leading him to the executioner's block, and Porky, tied up under a mass of ropes, can only hold a sign saying, "You were right, Sylvester." Sylvester runs to the hills, only to be confronted by his conscience(a pale blue Sylvester standing next to a reader-board). His conscience points out that Porky raised him from a kitten, and then shows a comparative size chart of Sylvester and a mouse, and finally produces a sign reading, "Now get in there and fight! Fight! FIGHT!!!". This starts Sylvester getting riled up, to the point where he runs up to a tree, rips off a limb with his bare hands and brandishes it like a club—before discarding the limb and uprooting the whole tree and charging back to the haunted house to kick mouse butt!
A small one from the special Bug's and Daffy's Carnival of the Animals: while playing separate pianos, Bugs and Daffy alternately recite lines of the poem that accompanies the section. They begin to lean progressively further back against each other, until they can't possibly be able to touch the keyboards, but the piano music inexplicably continues. Pan out to reveal that they're now playing with their feet. While looking absolutely chill about it.
At the ending to "Chow Hound", the dog who has been abusing a poor cat brings him to his many owners in exchange for several big cash rewards which he blows on meat...and winds up at the hospital for eating too much. The cat then returns with his similarly abused mouse friend, and this time, he didn't forget the gravy (the very reason for the dog's abuse of him).
The ending of "Daffy the Commando", where Daffy actually knocks Adolf Hitler (animated very realistically) in the head with a large mallet.
Bugs Bunny taking out the entire Japanese army with booby-trapped ice cream (Warning: Though Bugs Bunny calling the Japanese soldiers "bow legs," "monkey face," and "slant eyes" will make you sick to your stomach, remember, this cartoon was made during World War II, where demonizing the enemy with outrageous stereotypes was common. This is not cutesy, MoeAxis Powers Hetalia-grade stuff, so don't watch if you can't handle it) near the end of "Bugs Bunny Nips the Nips"
Bugs: Heh, the evil character's after that nice old lady's money. Looks like this Boy Scout's gonna do his good deed for today. (puts on a Boy Scout hat and salutes))
The opera in "Notes to You" which lasts a full thirty seconds and sounds awesome.
In "Thumb Fun" Porky has been putting up with Daffy's antics and after he gets arrested and forced to pay a fine thanks to his Antics plots revenge. He buys a gift for him and tells him not to open it. Daffy greedily opens the trunk and all his luggage flies out and Porky speeds off ditching him. To make things better what was his gift to him? A rubber hitchhiker's thumb for Daffy to use.