Almost the entirety of “The Day the Earth Stood Stupid” is gold.
The newscaster:
I think the delivery is what nails it.
Fry: “Scooty-puff Jr. suuuuccckkkssss…”
Zapp: “The mind is willing but the body is spongy and bruised.”
It is not real quoteable but I love the frieghtened mumblings of Kiff when he tries to call Amy to ask her out. I use it all the time when LadyFried tries to get me to do something I don’t want to do.
“I…umph…uhh…mmph…gasp…urhh…uhhh…mmph…whimper…”
“We no can dunk, but good fundamentals. Make it more fun to watch.”
“HA HA HA HA HA HA HA!”
“Kif, I’m headed to the men’s room and I’ll be needing an attendant so-- Oh, I’m sorry. You’re crying…like a woman.”
FRY: And for all that, all you had to put up with was one really annoying Star Trek fan! 
HEAD OF WILLIAM SHATNER: :mad: Get us the Hell out of here!
The last few times I’ve watched the show, I’ve found myself laughing at all the times Bender adds that superflous “me, Bender!” to his sentences.
Bender: “Your best is an IDIOT!”
This one’s all in the delivery, but…
“Have you heard of the monks of Deshuba?”
“I’ve not heard of them…”
Agreed - probably the most quotable episode. Everything the Nibblonians say crack me up:
“And even we Nibblonians, an ancient and powerful race, are powerless to stop them…fearsome though we are.” ::purrs::
“Sweet lion of Zion!”
“Sweet gorilla of Manilla!”
“Sweet yeti of the Serengeti!”
“Sweet bongo of the Congo!”
“Sweet three-toed sloth of the ice planet Hoth!”
“Sweet boa of Eastern and Western Somoa!”
“Sweet…something of…someplace…”
====
“Burn on that old crew! The only things they did better than us were ‘suck’, and ‘die’!”
“Sweet hog of Prague!”
“Sweet cow of Moscow!”
and my favorite,
“Sweet guinea pig of Winnipeg!”
Bender singing: B E N D E R BEEENNNDER B E N DER BEEENNNNDER
Bender asking for Amy to fix her mourning for him: LOUUUUDER AND SAAAAAADDDER
FRY: Well, thanks to the Internet, I’m now bored with sex. Is there a place on the web that panders to my lust for violence?
BENDER: Is the Space Pope reptilian?
Hedonism bot: More Chocolate syrup Jombi!
Professor Farnsworth: Everyone’s always in favor of saving Hitler’s brain, but when you put it in the body of a great white shark, ooooh, suddenly you’ve gone too far!
Trapped Monks: “Let us out! We cooked our shoes in the dryer and ate them! Now we’re bored!”
Lucy Liu-bot: “Oh Fry, I’ll always remember youMEMORY DELETED!”
Bender: “Fry cracked corn, and I don’t care! / Leela cracked corn, I still don’t care! / Bender cracked corn, and he is great! / Take that you stupid corn!”
I’m…not familiar with the type of thing I’m seeing…
Leela: What a fool I’ve been! A fully justified, prudent fool.
I only started watching Futurama about a month ago, and now I’m addicted. (2007 was also my first year to watch The Office. I tend to be late to parties.)
So far the small quote that made me laugh hardest was in Bendless Love, when everyone at last figures out who’s been bending everything in sight – including the Professor:
Zoidberg: J’accuse!
I don’t know why it cracks me up. Plus, the Professor’s cheerful “Good news, everyone!” makes me grin every. time. in anticipation.
Oh! And so many quotes from The Deep South:
Professor: He may have ocean madness, but that’s no excuse for ocean rudeness.
Hermes: I’d love to stay, but I miss my wife and oxygen.
Professor: Yes, we all miss our loved ones and gasses.
Zoidberg: You know, Fry, I’ve got a little place just outside town. You could come visit, maybe?
[Fry looks at the Colonel who shakes his head.]
Fry: Sorry, Zoidberg. I’m trying to join the country club.
Leela: But, Fry, what about us? What about your life on the surface? You don’t belong down here.
Zoidberg: She’s right, I mean, sure, they got the Braves but it’s a third-rate symphony.
Hell, almost everything Zoidberg says. I love that pathetic lobster.
Fry: I must’ve really been acting like a jerk
Bender: Yeah, but everybody’s a jerk. You… me… this jerk… That’s my philosophy.
“I am the greetest!”
Morbo: “Blame rests with known human Professor Hubert Farnsworth and his tiny, inferior brain.”
Morbo: “And that’s why the third-graders at PS 139 are Morbo’s Vermin of the Week.”
Newscaster: “Once again, today’s winning lottery number is 4.”
Lucy Liubot: “Oh, Fry. . . I love how you NOTICED TWO THINGS.”
Bender: “Oh, how I wish I could believe or understand that!”
Prof. Farnsworth: To shreds you say?
Fry, of all my friends, you’re the first!