Chris (and various)
Lois (and various)
Meg (season 2+)
Peter / Stewie / Brian / Quagmire / Tom Tucker (and various)
The large blue insect atop Quahog Pest Control is a tribute to Nibbles Woodaway (aka "The Big Blue Bug"), the giant blue termite mascot of Rhode Island-based exterminator Big Blue Bug Solutions (formerly New England Pest Control). The bug has become a Rhode Island landmark, and is visible from Interstate 95.
When Peter is in the hospital, Stewie has somehow lost all of his weight with no explanation.
In the scene at the hotel pool where Peter mentions his ancestor Jabba Griffin, Lois is barefoot, but when we cut back to them a couple of seconds later, she's wearing shoes.
When Peter is in line at the supermarket, he has his glasses on. After yelling "I need an adult! I need an adult!" his glasses disappear. The cartoonists probably realized that "attractive Peter" doesn't wear glasses and didn't draw them in from that point on.
When Chris is swimming with the fish and the bear grabs him and shakes him side to side, the side to side motion is not in sync with the reflection of them in the water.
Little girl: But mister, I need real money. I cant take a credit card.
Peter: Oh, I see, cash only huh? No paper trail huh? What are you selling, refer, crack, smack, horse, ex, shrooms, dust, meth, in my neighborhood?!? I dont think so!
(Peter destroys lemonade stand while girls runs away crying.)
Lois: Okay, meatloaf for us, and a very special, very delicious, steamed vegetable dish for Chris.
Chris: Ohhh. (Takes a bite) It tastes like a monkey.A monkey that's past it's prime!
(At the pool)
Lois: Jump in, sweetie! The turtle will protect you!
Stewie: I'm supposed to entrust my life to a turtle?! Nature's "D" student?
Lois: Peter, did you get a new buttocks?
Peter: I had to. My old one had a crack in it.
Stewie: (About Thin Peter) My god, it's finally happened! He's become so massive he's collapsed into himself, like a neutron star!
Stewie: Damn you ice cream, come to my mouth! How dare you disobey me!
(Security Guard talking to Chris)
Security Guard: You're not a shoplifter. You're just a fat kid. Sorry about that, Fatty Fat Fatty. Hey, Tom, he's just a fat kid! Aren't you, Fatty? You're just a big old fat kid. Here's some chocolate, Fatso.
Handsome Peter: Knock knock!
Brian: Hey, pal, you can't just walk in here without - holy crap, it's Peter.
Chris: Dad, you're pretty, like a girl.
Guard: Excuse me sir, you can't park your van on the diving board.
Peter: That's not a van! That's my son.
Girl: But mister, I need real money. I can't take a credit card.
Peter: Oh, cash only, huh? No paper trail? What are you peddling? Crack? Smack? Reefer? X? Shrooms? Dust? Meth? In my neighbourhood? I don't think so!
(Peter smashes the lemonade stand)
Peter: Wow, when you're beautiful, doors magically open for you!
Beautiful People's Club Man: Actually, it opened because you stepped on that black square. [Pause] Of course if that wasn't there, it would have opened anyway because you're beautiful.
Cleveland: If you're this desperate about Chris's weight, why don't you just suck the fat out?
Peter: Look, if you can find a hole on the boy that you want to put your lips on, be my guest.
Lois: Did you paste your picture over our wedding portrait?
Peter: Yeah, I think it looks better.
Lois: You pasted it over mine.
Peter: Yeah, I think it looks better.
Lois: I hate what you become! Why don't you go back to that doctor and tell him to suck the fat out of your head?
Peter: Maybe I will, and then I'll put it on my feet and skate on Paul Bunyan's skillet to cook his flapjacks.
Lois: That doesn't make any sense!
Peter: It doesn't have to, Lois, I'm beautiful!
According to the official Family Guy episode guide, the names of the two strongmen are Phineus and Barnaby.
Stewie: This must be where Wilford Brimley was strangled by Bob Crane!
Wilford Brimley became well-known for being in Quaker Oatmeal commercials. Bob Crane, best known for playing Hogan from Hogan's Heroes, also had been involved in numerous sexual acts. However, Stewie gets it mixed up, as Bob Crane was mysteriously beaten to death in an apartment then had an electrical cord wrapped around his neck.
Jabba The Griffin
Jabba The Griffin is an obvious parody of the Star Wars Character Jabba The Hutt.
"He's Too Sexy for His fat" is a parody of a line from Right Said Fred's "I'm Too Sexy," like "I'm too sexy for my shirt."
Stewie (in the pool): "This is marvelous! I feel like a young Johnny Weissmuller!"
Johnny Weissmuller was one of the world's best swimmers in the 1920s, winning five Olympic gold medals and one bronze medal. After his swimming career, he went on to become the best-known actor to portray Tarzan in films, a role he played in twelve motion pictures.
The scene where the exterminators arrive at the house is a parody of the mobilization scene from "S.W.A.T." (1975) where the officers gear up and get in the truck. This is seen in the opening credits of the show and throughout the series whenever they get a call.
Stewie: Damn you Mop & Glo!
Stewie slips on the floor and exclaims "Damn you, Mop & Glo!", a reference to a floor waxing product known for making your floor slick and shiny.
Brian: Oh, did Orson fall down?
Orson Welles was the butt of many fat jokes. Orson fall down was a reference to Stewies weight problem that progressed during the episode.
Brian: I'll have what he's having
After Stewie says the meatloaf tastes orgasmic, he fakes an orgasm, just like in "When Harry Met Sally". When he's finished, Brian (like the customer at the diner) say "I'll have what he's having
Peter: Can't look away... too beautiful.
This is a referance to the greek myth of Narcissus. In the myth Narcissus is a beautiful man to whom all the women and girls are attracted to. Aphrodite the goddes of love decides that he is too arrogant so she curses him to fall in love with himself when he is taking a drink from a pool. When he gets ready to leave he looks to his reflection and becomes entrances in it. He gazed at his image not eating or drinking until he died of starvation.
Hoovervilles were the names given to run down houses and shacks people lived in during the Great Depression. They were named after president Hoover, who was blamed for the problems that led to the depression.
Stewie: I picked this up from that yummy exoskelleton Maria Shriver.
Maria Shriver is a long-time host of Dateline, and they did do tests using an Ultraviolet light in hotel rooms to reveal hidden stains.
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