Daffy punching out one of Foghorn's teeth in "The Foghorn Leghorn Story" just because he called Daffy a "no-rooster." Bugs hitting Sam across the antique shop for trying to take all the credit for finding an expensive vase also qualifies.
Speedy Gonzales for taming the Tazmanian Devil without batting an eyelash. Badass incarnate.
Speedy near the end of "Sunday Night Slice". Must be seen to be believed.
In "Peel of Fortune", we get an idea/reminder of how much of a genius Bugs really is. Thanks to a chain of events (specifically, Daffy getting rich off of Bugs' automatic carrot peeler, and then it being recalled), the house Bugs and Daffy live in is about to be demolished. Bugs' method of fixing everything? Building a time machine, in less than a minute, and undoing said chain of events!
Just... just... Foghorn Leghorn singing "Cock of the Walk"!
Foghorn Leghorn's entire life is a collection of Moments of Awesome.
Daffy the Wizard. Words cannot describe it.
Even if it was all in his head
In "Pizarriba", Speedy's cousin tries to run away from Speedy, only for Speedy to remind him how that won't work.
Come on, you loved it when Porky snapped and beat Daffy senseless in "The Float". He so had it coming that it wasn't even funny.
It'd have been even better if Bugs just decided to dump Daffy off the yacht while he was unconscious instead of tying him up.
"Hook it up!"
Lola's Drives Like Crazy road test. Not only does she do this with a smile on her face the entire time, not only does she do it with Yosemite Sam as the instructor, but she passes herself because Sam is left frothing at the mouth from terror. Needless to say, this also doubles as a Funny Moment.
Lola's Crazy Awesome tale of how she broke her foot. Which involved climbing a building, breaking through a glass window, climbing up an elevator shaft, and falling off of a building. And she came out entirely unharmed. She broke her foot climbing onto the doctor's examination table.
Tina telling off Yosemite Sam for trying to counterfeit money and taking Lola's parking lot spot.
Tina: I'll tell you what I'm lookin' at, a sad little man who buys his jeans in the children's department, and is about to get beat up with his own boots. (Yosemite Sam runs away in terror) You hear me?! And if you ever steal my friend's parking space again, I'll put you in a shoebox and bury you in my backyard!
Lola's Tomb Raider-esque quest to get Bugs a gift for their anniversary.
When the cast of Lola's "A Christmas Carol" fall down a trap door and are unable to perform, Bugs turns it into a one man show and is able to keep the show going, even changing clothes in a blink-of-an-eye, until he falls down the trap door.
Tina socking Cecil Turtle during "The Reason Christmas Rules".
Bugs Bunny is Batman. That is all.
Yosemete Sam in "You've Got Hate Mail" reverting to his real persona, and giving a "The Reason You Suck" Speech to his book club, including a surprisingly cogent criticism of the book they were all gushing over.
Sam: "(after returning from the restroom to put his old clothes back on) Ya wanna know what I think of Alex!? (beat) Well IIIIIIIIII think he's PATHETIC! I mean THAT'S your protagonist!? There's no arc to that character! What obstacle did he overcome? What was his emotional journey!? In fact, only thing that's more pathetic than Alex, is THIS BOOK CLUB! Now GET OUT!"
Granny's story in "Eligible Bachelors" from beginning to end. Who knew she and Tweety were such badasses in their youth?