I love the episodes mentioned here, and also the hat one - with Elmer and Bugs and the hat truck goes by and they change personalities with the hats.
Nitpick: The Gashouse Gorillas.
Compressed Hare, another Bugs cartoon with Wile E. Coyote. The scene where Bugs is at Wile E."s door with a cup of carrots and Wile E. has his mailbox labeled “Wile E. Coyote - GENIUS!” Bugs knocks on the door and says, “Are you in, Genius?” Then a pause and another knock. “Are you in, Capable? Insolent? Indescribable? Inbearable?” Slays me every time.
Nitpick; he was playing blackjack against Blaque Jacque Shellaque.
“Be vewy, vewy quiet. I’m hunting wabbits.”
Which is hysterical when Bugs says it after he’s been through therapy and believes he is Elmer J. Fudd, millionaire (who owns a mansion and yacht).
Just shows how long it’s been since I’ve watched Bugs.
I opened this thread to say the mobsters** Khadaji **mentioned in the OP. My son and I STILL tell each other “Shaddup shuttin’ up.” 
In fact, everything mentioned so far is classic.
I haven’t seen it in years, but I’ll add the one where Yosemite Sam is going to inherit $1M if he can keep his temper. So the entire episode features terrible things happening to him and him swearing as only the Yo-Man can. By the end of the episode, he’s cured, but he blew the inheritance.
Gotta watch it with the closed-captioning “ON,” because his fake swearing is typed out phonetically.
I loved the end of this cartoon.
An IRS agent approaches Bugs, believing him to be Elmer and takes him in for tax evasion. Elmer (in the rabbit costume) looks at the camera and says, “I may be a scwewy wabbit, but I’m not going to Owcatwaz.”
you have mentioned many favourites, but missed this one:
Daffy and Bugs tearing posters off a tree with Elmer looking on…
“Duck Season!”
“Rabbit Season!”
“Duck Season!”
“Rabbit Season!”
…
“Elmer Season!” (uh-oh!)
…“Be vewwy vewwy quiet! We’re hunting Elmers!”
Four words: “Ain’t I a stinker?”
From “Duck Amuck,” if you really have to be told
Another vote for *What’s Opera Doc. *. . . especially the scene . . . uh . . . the whole thing.
Duck Amuck is a great Bugs Bunny moment for sure, but my personal favorite is in Fallin’ Hare, where Bugs Bunny is trying to stop a Gremlin from sabotaging a US Army bomber. The gremlin somehow convinced Bugs to start swinging a mallet at the nose of a blockbuster bomb. Bugs gives it a good windup, swings…
and stops just short, screaming WHAT AM I DOING?!
Now I’ll say a few words a wandering gypsy told me by the light of the full moon…“Hocus pocus ala-kazaam, walla”…the trick, she is done
(Elmer’s face when Bugs “seemingly” destroys the watch is priceless)
How many lumps do ya want?
I was gonna put that one up, but was too lazy to type it in.
And I did, but Red didn’t see it.
In “Bowery Bugs”, Steve Brodie has his sanity systematically dismantled by Bugs. The scene just before Brodie snaps altogether:
“Everyone’’s a rabbit!!”
“Get a hold of yourself Brodie! You’re not a rabbit!”
<cautiously peeks at a mirror and sees Bugs instead of his reflection>
"EYAAAAAAAAHHHHHH!!!"
Those who love “What’s Opera Doc?” might be interested in the earlier “Herr Meets Hare” where Bugs plays Brunhilda to a nearly naked Goering as Siegfried.
There is one more I love, but its just not politically correct.
“Hey Grandma…!”
“I’ll dood it! I’ll dood it! But I’m gonna hate myself in the mornin’…”
The Yankees were bit players in “Southern Fried Rabbit”, where Sam plays a old Civil War Officer who finds out “The Yankees are in Chattanooga”.
The only one that comes to mind is the ending of “What’s Opera, Doc”: “Eh, what’d you expect, a happy ending?”