The Cartoon Quote Game...

Way too easy. It's Dishonest John, from "Beany And Cecil." Unfortunately, I can't name the episode.

Thanks, Bill. And now, just in time for tonight:

"Happy New Year!"

"And may it be shiny, too!"

Oh! From the stop-motion Rankin/Bass Production Rudolph's Shiny New Year. Of course, lead reindeer Rudolph speaks one line, but I can't pinpoint (without cheating) who said the other one. Father Time, perhaps?

Yes, Father Time speaks the first line along with Santa and O.M. the caveman. Rudolph does speak the second line. Good job, and happy New Year!

Cool. Now, this line gets spoken by a few characters, all in the same cartoon, so just naming the series counts:

"I'll do it, but on one condition: I get top billing."
"Aw, gee, [insert character name here]."

If I'm not mistaken this is from the Dudley Do Right episode " Lure of the Footlights." Snidely Whiplash, Nell and Inspector Fenwick all say this at one point if I'm not mistaken after somehow ending up on a vaudeville stage.
Of course, Snidely's going to make Dudley the straight guy while beating the crap out of him.
Also, after double checking, while several characters do insist on getting top billing, it's Nell who actually says that specific line, while Whiplash protests "Aw,gee, Nell!"

Absolutely correct, Glowworm. This is Jay Ward's Dudley Do-Right of the Mounties discovering that the Mounties "always get their man" ... except when the theater intervenes, in which case "the show must go on" takes precedence. And for the time when it was made, it has the distinction of showing the usual Damsel In Distress foobing the Villain.

Yeah, Nell would have made a fine mountie if her father wasn't so sexist.
"Shh! Here comes the naked genius now!"

Clue: character in question is referring to a little bird who was formerly complained about looking "naked" due to his pink coloring. He's no longer pink in this outing.

Aha! It's the Jimmy Durante cat from "A Gruesome Twosome."

Correct. By this short, Tweety had a bit of a redesign because there had been complaints that he looked a bit naked.

Thanks, Glowworm. Now for a very untapped set of quotes that I was indeed lucky to find:

"I'm their aunt."

"I'm their uncle."

"We're their ancle!"

Hint: These are from a movie that mostly takes place at a scare school.

Second hint: They're played by an unlikely pair of cartoon voice actors, one of whom died just last week.

Well, this has to be Pixar's Monsters University, but which characters? I'll hazard its the parents whose house is the frat lodge from Oozma Kappa where Mike and Jimmy pledge. The parents names ... Squiddly? Squiggley? Squishy? Something like that. They're a mom-and-pop from the Edsel days.

Wrong, OUB. So one last hint:

The voice actors had their own variety show from 1976-1977.

Had to do some research on this one. I knew it had to be some sort of two headed monster--voiced by Daryl Dragon--also known as "The Captain" who we recently lost. However, the scare school in question puzzled me. Knew it wasn't Monsters University--or Monsters High, or even Scooby Doo and the Ghoul School.
Turns out this is Bella and Murray from the movie special "Casper's Scare School from 2006--later to become a tv series. Bella and Murray are the two-headed Ancle of the cruel two-headed head (heh!) master of the school. They of course are voiced by The Captain and Tennille. Oh, and yes--Murray is totally wearing a captain's hat.