Both scenes of Wednesday teaching Lurch how to dance are Crowning Moments of Funny, Heartwarming AND Awesome.
This exchange from the episode with the biker Rocky when the family plans to invite his father for dinner.
Wednesday: We have a surprise for you! Rocky: I know. Satan's coming to dinner. Wednesday: Oh, no. That was last week!
After "Fester" nearly gives himself away, Gomez vents his frustrations by crashing his model trains. We see a shot from inside the train, which features a miniature living person who looks up from reading the newspaper to see Gomez laughing maniacally.
Gomez's Heroic BSOD after being forced out of his home. He now sits around all day watching television.
Morticia: Why don't we go for a drive? The whole family? Gomez: A drive? And miss Gilligan?!
Also the family's attempts at trying to "fit in" to this new lifestyle. One example happens right after the above dialogue:
Grandmama:[peeks her head in through the front door] Dinner's gonna be late! [goes out; heard from outside] Here boy! Here boy!
Wednesday's concerned elementary-school teacher approaches Morticia with a picture Wednesday brought to class as part of her report on 'Our Heroes': an old woodcut of a witch being burned at the stake.
Morticia: Wednesday's great-aunt Calpurnia. She was burned as a witch in 1706. They say she danced naked in the town square and enslaved a minister.'' Teacher: ...r-really? Morticia: Oh yes. But don't worry: we've told Wednesday 'College first.'
Also, Morticia's reaction after hearing one of Wednesday's classmates did her report on Jane Pauley.
Briefly after that scene, we see Margaret fawning over her son in his elf costume, finishing up with the typical "you're so adorable I could eat you alive!"
Morticia: Oh no, Margaret! Too young!
Which might explain what happened to little Pubert...
After the dance scene, Flora and Fauna tell Fester that "I'll call once I'm alone". Funny enough given they're conjoined twins... but then their ride to the insane asylum shows up, and they're last seen waving goodbye as the straitjacket is put on.
Wednesday. Nothing can stop her deadpan - and sometimes deadly - response to the smugness and faux happiness that surrounds her.
Girl Scout: Is this made from real lemons? Wednesday: Yes. Girl Scout: I only like all-natural foods and beverages, organically grown, with no preservatives. Are you sure they're real lemons? Pugsley: Yes. Girl Scout: Well, I'll tell you what. I'll buy a cup if you buy a box of my delicious Girl Scout cookies. Do we have a deal? Wednesday: Are they Made from Real Girl Scouts?
At one point, Grandmama is seen apparently cross referencing The Joy of Cooking with Gray's Anatomy.
And later, once Gordon had more fully-integrated with the family, he and Pugsley prank her by putting a skeletal arm in her stew. "That's for company!"
[Lullaby Music is playing] Girl in Waiting Room: And then Mommy kissed Daddy, and the angel told the stork, and the stork flew down from heaven, and left a diamond under a leaf in the cabbage patch, and the diamond turned into a baby! Pugsley: Our parents are having a baby,too. [Music stops, dramatic zoom on Wednesday] Wednesday: They had sex.
Hippie-Nanny: Children, as your new nanny, I know that we are all concerned about the environment. So, this morning, let's discuss how to prevent forest fires. Wednesday: Prevent them? [lights a very large match] Strict Nanny: All right children, I have had it up to here. Now you just answer one simple question; where is that baby? Wednesday: Which part? Maid-Nanny: [with a hand puppet] Hello kiddies, I'm Polly the Puppet. What shall we do today? I know! Let's all clean our rooms! Wednesday: [pulls out a devil puppet] Hello Polly, I'll clean my room ... in exchange for your immortal soul. [devil puppet rubs hand together]
The bit where Wednesday apparently breaks under the peer pressure of the camp and begins smiling... Good thing she was faking it. The reaction is the crowning bit, though.
Morticia: Marvelous news. I'm going to have a baby [Beat] Right now.
Morticia is reading The Cat in the Hat to her suddenly rosy-cheeked son Pubert. ("To think... a child of mine.") She skips ahead to find out how it ends.
Morticia: Oh no. He lives.
What about Raúl Juliá's phenomenally hammy performance at the police station. "Debbie! My brother's wife! The Temptress of WAIKIKI!"
"HAS THE PLANET GONE MAD?! My brother—passion's hostage! I seek justice! Denied! But I shall not submit! I shall conquer, I shall rise! My name is Gomez Addams, and I have seen evil! [cut to grandma and the baby] I have seen horror! [cut to Lurch] I have seen the unholy maggots which feast in the dark recesses of the human soul! [Morticia: "They're at camp"] I have seen all this, but until today, I had never seen... you!
Which is also a Hilarious in Hindsight moment, because the actor that played the police officer (some guy named Nathan Lane) would play Gomez in the musical.
Also, Gomez' phenomenally hammy breakdown after Fester refuses to see him; even when Fester finally escapes Debbie and comes home, Gomez is bed-ridden and delirious, wailing out Swing Low, Sweet Chariot. The two begin to reconcile, but Gomez makes his problem clear with this line;
Amanda: Why are you dressed like that? Wednesday: Like what? Amanda: Like you're going to a funeral. Why are you dressed like somebody died? Wednesday: Wait.
Uncle Fester's makeover, where he is given an orange pageboy and a white coat that has broad shoulders.
During archery practice at camp, Pugsley shoots his arrow directly upwards. Moments later a bald eagle falls out of the sky, pierced by the arrow:
Becky Martin-Granger: It's an American Bald Eagle! Gary Granger: But aren't they extinct? Wednesday: They are now.
Mal: If you ever think about unloading this place, I might be able to help you out. Gomez: Out of the question! These four acres have been in my family ever since Queen Isabella of Spain deeded it to my great ancestor, Alfonso the Enormous, for services rendered. Mal: What services? Gomez: ...Alfonso the enormous. Do I have to draw you a diagram?
Addams Family Reunion
(Yes, funny moments exist for this movie.)
Walter Adams (spelt with one "d"; a cock-up by the organizers has resulted in them being sent to the reunion of a completely unrelated family,) proves that he fully deserves to be a true Addams with his speech to his assembled clan: "You people have been dragging me out to these family reunions, and I have only one thing to say, and I say it to all of you...(dramatic pause, audience prepares for something diabeticallyGlurgey) You make me sick, you're nothing but a bunch of lazy, worthless, freeloaders. I'm sick of listening to all of your sappy, kiss-up remarks. Why, I'd sooner shove a screaming walrus down my pants than spend another minute here with the entire lot of you." He carries on for a while, and finishes by saying that he'd like to see "[them] all, roasting, in the deepest. Pits. Of Hell." Gomez bursts into applause.
One scene has Wednesday and Pugsley both in guillotines trying to decapitate themselves to avoid going to the planned family reunion. Morticia catches them and says "You won't be getting out of this that easy!"
The guillotines are even marked with a "P" and "W" for each child.
The scene where Lurch is just calmly floating on a black inner tube in the swimming pool while several children swim away and get out of the pool screaming their heads off, and he doesn't seem to notice.
1992 Animated Series
The normally happy-go-lucky Gomez goes absolutely ballistic in the episode "Double O Honeymoon", when the villain Ian Thundermane and his cohorts keep flirting with Morticia, right in front of him at that. Morticia is VERY appreciative of Gomez's newfound beastial side.
Uncle Fester: (is signing a contract) How many L's in Fester? Norman Normanmeyer: As many as you want!
The New Addams Family
In "Morticia's Favorite Charity", Uncle Fester locks himself in his iron maiden before it is sent to an auction in a ploy to get it back after the auction. When he is revealed to be inside the iron maiden, the auctioneers bid for him. After his family rescues him, Fester says "Thanks a lot! I was this close to becoming the love toy of a psychotic 80-year-old!"
One episode has Fester pretend to be a Humphrey Bogart-style noir detective while investigating who he assumes to be a male gold digger taking advantage of Morticia's cousin Melancholia. He even goes to the trouble of narrating events to himself!