One of the opening scenes has Gomez playfully fencing with Tully Alford. Gomez is clearly toying with the attorney the whole time, while Alford has to push himself to the limit just to keep up with (or avoid getting skewered by) his borderline superhumanly skilled client. The topper is Gomez's effortless disarming of Tully, followed by him flicking Tully's ballpoint pen into the air, doing multiple backflips before landing into his chair and catching not only the errant pen but another sword that dislodged itself from the ceiling!
The Mamushka! First, the not-fake Fester realizes that he can dance. Then he realizes he can dance while knife-fighting. Then he realizes that he can juggle. Then he realizes that he can sword-swallow. A well-deserved round of applause follows.
Gomez: The Mamushka! Taught to us by our Cossack cousins, the Mamushka has been an Addams Family tradition since god-knows-when. We danced the Mamushka while Nero fiddled, we danced the Mamushka at Waterloo. We danced the Mamushka for Jack the Ripper, and now, Fester Addams, this Mamushka is for you!
Fester rebels against Abigail Craven, the woman who brainwashed him into thinking she was his mother. He uses one of the books in the Addams library, summoning a massive hurricane. Being an Addams, Fester is, of course, perfectly fine after said massive hurricane.
Fester's dismissal of the sniveling Tully as he tries to reason with Fester by telling him to think of the doubloons. Bear in mind that, at this point, Fester still probably thinks he's Gordon, and he's more than willing to side with the Addamses.
"They're not yours, Tully! BACK OFF!"
The fact that in the Seven Hells, Thing, a severed hand managed to get a job as a FedEx office courier: the truly phenomenal thing is he does it spectacularly.
Addams Family Values
The camp counselors try to force Wednesday to play Pocahontas in their play. She absolutely refuses.
Wednesday: I don't want to be in the pageant. Counselor Gary:Don't you want to help me realize my vision? Wednesday: Your work is puerile and under-dramatized. You lack any sense of structure, character, and the Aristotelian unities.
Wednesday: You have taken the land which is rightfully ours. Years from now, my people will be forced to live in mobile homes on reservations. Your people will wear cardigans and drink highballs. We will sell our bracelets by the roadsides. You will play golf and enjoy hot hors d'oeuvres. My people will have pain and degradation. Your people will drive stick shifts. The gods of my tribe have spoken. They have said, "Do not trust the Pilgrims, especially Sarah Miller." And for all these reasons, I have decided to scalp you and burn your village to the ground.
The best part of the camp burning scene comes at the end when Wednesday (still in her costume) is looking around, pleased at all the chaos, then notices Amanda Buckman, who at this point, has been tied to a stake, had an apple shoved in her mouth and is screaming for help. She calmly walks towards Amanda, stops, and pulls something from her headdress. Amanda's eyes go wide... and Wednesday lights the match. As the match burns, Wednesday for the first time lets loose with her true smile: a smile worthy of her mother. Let's not forget the wood for the stake is soaked in gasoline. And that the Addams Family theme song starts playing as Wednesday strikes the match. Hell, just Wednesday's slow walk towards the camera with her hand on her hip and that smirk on her face.
The Brick Joke about the family motto: "We gladly feast on those who would subdue us." The camp counselors tried to subdue two of the Addams family... And last we see them, they're being cooked alive on a spit.
Thing single-handedly (no pun intended) helping Fester escape from Debbie and bringing him home. He may not be the best driver, but he not only prevents Debbie from killing Fester, he gets the two of them home in one piece!
The truly spectacular rant Gomez directs at the Jerkass police officers, doubling as an Addams family roll call. Unfortunately, it ends in the cop having a Shut Up, Kirk! moment, but Gomez's signature passion is always appreciated.
Gomez:[shouting] Has the planet gone mad? My brother, passion's hostage. I seek justice — denied! I shall not submit! I shall conquer! I shall rise! My name is Gomez Addams, and I have seen evil! [Grandma holds up Pubert for all to see] Gomez: I have seen horror! [Lurch waves] Gomez: I have seen the unholy maggots which feast in the dark recesses of the human soul! Morticia: They're at camp. Gomez: I have seen all this, officer. But until today, I had never seen...you!
It's easy to miss, but how do Pugsley and Wednesday get home after escaping from summer camp? Pugsley stole one of the camp vans and drove them himself!
Baby Pubert saves the day by rewiring the electric chairs to direct the charge away from his family and back to Debbie.
Despite usually being thought of as naive, Pugsley shot an American Bald Eagle right out of the sky with a bow and arrow.
Gary Granger: But aren't they extinct? Wednesday: ...They are now.
The Masochism Tango. Gomez and Morticia set fire to the floor, launch a knife into the roof and make over a dozen wine bottles all pop at once, not to mention several of Morticia's spins which a normal person would have gotten sick from!
The New Addams Family
After spending most of the series having to deal with Wednesday trying to kill him, Pugsley finally stands up to her in the episode "Keeping Up with the Joneses" and gets a victory over her.