“You fool! You foolish fool!” – Al Gore on one of the Tales of Interest episodes.
“And now I am leaving Earth for no raisin!” – the Gigantic Brain quoting from one of the lines in Fry’s book.
Zapp: “Would you like some champagen?”
Leela: “I didn’t realize you were such a coinasor.”
There’s something about the way the Professor says, ‘good news, everyone!’ that always makes me laugh. 
I don’t think I’ve watched enough of Futurama.
My favorite is the one time he said, “Bad news, nobody” instead 
.
Then there’s the neutral planet leader saying: “If I die, tell my wife ‘hello.’”
I am a huge fan of The Simpsons {Made by Matt Groeaning, or however you spell it, who was the guy who made Futrama.} But i don’t watch Futurama enough to remember funny quotes. I read the comic book of Futurama though.
One from the show that always makes me laugh is when the crew have been arrested. And the police spot Fry moving.
Police: He’s trying to escape, get him!
Fry: No, I was just picking my nose!
Police: He’s picking his nose, get him!
It always makes me chuckle for some reason.
Fry - “Every man for himself!” Jumps in quick sand “Leela, help me!”
Let’s see:
Fry: Did everything just taste purple for a second?
Zoidy: It’s a fabulous, crabulous day!
Zoidy: You still have Zoidberg. You all do!!
Farnsy: Maybe you need a good bend. A 90 degree bend where happiness is perpendicular to wonderment. It’s just like in the song I wrote! sings We all need a new angle on life!
Episode where Bender has the empathy chip installed
Leela, unable to stop caring for Nibbler
Fry: If you care about Nibbler, stop caring about him!
Leela: I can’t! I love all living things!
Fry: Even me??
Leela: As a friend.
Fry: Damn.
Slurms McKenzie: “I’m tired… so very tired.” takes sunglasses off
Farnsworth: “Shh! Be very quiet. We’re in the ear.”
Amy: “Ok, Professor.”
Farnsworth: “WHAT!?”
Fry: “What about what?”
Leela: “Uh… what if we go for a walk possibly because it’s such a lovely day, perhaps.”
Fry: “That doesn’t look like an ‘L’… unless you count lower case.”
Bender: “You know we don’t!” slaps Fry
And then this whole educational video:
"…Ordinarily, Billy would work hard to make money from his paper route. Then he’d use the money to buy dinner for Mavis, thus earning the slim chance to perform the reproductive act. But in a world where teens can date robots, why should he bother? Why should anyone bother? Let’s take a look at Billy’s planet a year later. Where are all the football stars? And where are the biochemists? They’re trapped! Trapped in a soft, vise-like grip of robot lips. All civilization was just an effort to impress the opposite s.e.x… and sometimes the same s.e.x. Now, let’s skip forward 80 years into the future. Billy’s planet was destroyed by aliens. Have you guessed the name of Billy’s planet? It was Earth!
Don’t date robots!"
I laugh most when Zapp Brannigan is piloting that leisure cruise ship and decides to change course.
“That [route] is for sissies! Not let’s plot a route with some chesthair!”
For some reason, in the episode when Fry finds an old volkswagon van, when Bender says ‘I’ll save me…’ in a dramatic voice that always makes me chuckle.
I’m sure I can think of a few more:
one of my fav episodes is when Bender meets God-
Bender- So you know what I’m going to do before I do it?
God- I do
Bender- But what if I do something different?
God- Then I wouldnt know that
God-Do too much and people get dependent, do too little and people lose hope. If you do things right, it will seem like you’ve done nothing at all.
Now for some more humorous ones-
Zapp- Leela! Oh thank god! I’ve never been so happy to be beaten up by a woman!
Fry- Can I come back at severely reduced pay?
Hermes- Of course! In fact, severely reduced pay all around!
from previously mentioned eppy
Malachi- We will be with you soon, metal Lord!
Bender- You’re with me now! This is the maximum level of being with me!
Leela: Let’s do it again sometime.
Farnsy- I suppose I could still get rid of one of my doomsday devices and still be feared.
Bender- Alright, I graduated! First I’ll bend around Europe for a few months, then get a job bending
Bender: Ok kids, forks go in the left pocket, and knifes go to the right pocket.
(Poor child get his plate of food)
Bender: Ah Ah Ah, what do we say?
Poor Child: Bout’ Time!
Thats all I can think now 
M favourites from Farnsworth.
Leela: Is this some sort of brain scanning device?
Farnsworth: Some sort, yes. In France, it’s called a guilloutine.
Leela’s head nearly gets chopped off.
Leela: Professor! Can’t you examine my brain without removing it?!
Farnsworth: Yes, easily.
Farnsworth:Sure, everyone’s always in favor of saving Hitler’s brain, but put it in the body of a great white shark… oooooh, suddenly you’ve gone too far!
Farnsworth:If anyone needs me, I’ll be in the angry dome!
Farnsworth: Forget it, I’m not going! I have my reasons! Shut up all of you!
Hermes: Strange. You haven’t acted suspicious since I found those “ape bones” in the basement.
Farnsworth: Oh course he still exists. As a frozen corpse in outer space! [He laughs then sighs.] Oh, I made myself sad.
Farnsworth: I move that your cat stinks and is ugly!
Farnsworth: You take one nap in a ditch in the park, and people start declaring you this and that!
Farnsworth: Which ones are new?
Hermes: The green dude and the fat mon.
Farnsworth: Really? I could swear I’ve never seen that robot before either…
Bender: It’s me, Bender. You know, the lovable rascal!
Farnsworth: Oh, yes of course my good friend…(Shrugs at Hermes)
Farnsworth: I really should do something… but I am already in my pyjamas.
Fry: I can’t swallow that!
Farnsworth: Good news, it’s a suppository.
Leels: What’s the mission?
Farnsworth: Collecting honey. Ordinary honey.
Leela: That doesn’t sound so dangerous.
Farnsworth: This is no ordinary honey. It’s produced by vicious space bees. A single sting of their hideous neuro-toxin can cause instant death!
Hermes: And that’s if you’re not allergic! You don’t wanna know what happens then, oh no no, God no!
Farnsworth: Your insides will boil out of your eye sockets like a science fair volcano!
Hermes: I didn’t want to know! [Bursts into tears.]
Proffessor: The rules are simple. Two robots enter, only one robot leaves. Then the other robot leaves after being declared the winner.
Bender: That doesn’t sound so bad.
Proffessor: Did I mention the crippling agonising pain? I’m pretty sure I did–mm, yes, definitely.
Leela: Now remember Professor, Bender is santa, so we don’t need to hurt him.
Professor: Yes, yes Leela you sound like a broken MP3
Bender: Ho-ho (Professor shoots Bender) Ow.
Leela: Professor! Don’t you remember what I just said?
Professor: NO! (shoots bender again)
Farnsworth: Oh, a lesson in not changing history by mister I’m-my-own-gradpa! Let’s just get the heck outta here! Screw history!
Leela:What about the animals?
Prof.:You wha?
Leela:You know the animals
Prof.:I didn’t mention any animals. Now the planet will collapse in on itself in just three days. Incidently this will kill all the animals
Farnsworth: Good news, everyone!
Farnsworth: Bad news, no-one!
Farnsworth: Good news everyone, I’ve teached the toaster to feel love.
Farnsworth: No fair, you changed the outcome by measuring it!
Farnsworth: I’m beginning to think there will be no forced mating at all.
Farnsworth: Teddy Bear Junction, the worst scumhole in the galaxy.
Farnsworth: He may have ocean madness, but that’s no excuse for ocean rudeness!
Farnswoth: I invented it didn’t I? You wouldn’t ask Thomas Edison if he knew how to use a sex-mo-tron!
Farnsworth: This is uncomfortable and humiliating. Now, if they could put it in the form of a suppository.
Farnsworth: I’ll ruin you like I ruined this company!
Heather: Sir, it’s not necessary or wise to be naked.
Farnsworth: Pfft, you sound just like my tennis instructor!
Farnswoth: With my last breath, I curse Zoidberg!
I haven’t seen this show for years, but here’s one quote I remember from Bender!
"That’s no flying saucer, that’s my a**!
In no particular order:
Farnsworth: No one’s saying your crazy, though I’m certainly thinking it very loudly.
Stephen Hawking: Let us resolve this like men of science.
Farnsworth: Let the Deathball begin!
Zap: Captain’s log, stardate… uh…
Kiff: April 14th.
Zap: Right, April 14th.2.
Melvarrr: I am Melvarrr, seer of the tapes! Tremble before my encyclopediac knowledge of Star Trek!
Fry: Welshy!
Nibbler: Alas, our kitten class attack ships were no match for their mighty chairs!
Fry: Professor, that’s horrible. Especially the making out part.
Al Gore: Yeah, I could have done without that.
Hermes: Requisition me a beat!
Bubblegum Tate: For years, your puny planet has lived in peace with the Globetrotter homeworld, but now, for no reason, we challenge you to defend your honour, on the basketball court!
Fry: What happens if we lose?
BT: Nothing! There’s nothing at stake and no threat - except the shame of defeat!
And, well, we could go on forever.