Sam Hilliard, a truant officer, shows up at the Addams family home, due to the fact that Pugsley and Wednesday are not attending school. Soon he discovers, he's dealing with no typical everyday family.
Gomez and Morticia are shocked when Pugsley joins the boy scouts, begins playing baseball and gets a puppy. Fearing something is wrong, they turn to a psychiatrist.
Uncle Fester puts an ad in the personals column and when he doesn't get an immediate response he's heartbroken. Later, the Addams family mistakes a cosmetics saleswoman as a respondent to the ad.
Pugsley and Wednesday get into a fight over families, with their friend Harold, who says that his family is better than their family. This prompts the Addams family to look back in their family tree.
Gomez and Pugsley visit an old friend of the family, who owns a circus. There, Pugsley befriends Gorgo the Gorilla who later escapes and follows Pugsley home. Meanwhile, Morticia has hopes of joining the Ladies League.
Hubert and Amanda Peterson are newlyweds, and they have leased the house next door. Their bliss starts to erode immediately when they see the Family washing their pet octopus and Fester testing dynamite caps.
Visiting dignitaries from an Iron Curtain country want to see a ""typical"" American family. Mr. Harris, the Government agent, is resistant to the idea. Mr. Haan insists, so they get out the phone book and randomly select a name. They land on the Addams listing.
Cousin Melancholia comes to seek solace at the Addams home. Melancholia's fiancee, Fred, has left to join the Foreign Legion. Morticia is determined to find her a new man and phones up Hasty Marriage.
Gomez and Morticia are concerned when Lurch refuses to go to the annual Butler's Ball. They then learn the reason, Lurch can't dance. The Addams family then tries to help him by teaching him how to dance.
Hollister is an undercover operative who's been picking up odd radio signals from the Addams house. Convinced they're spies, he recruits the postman, Briggs, to help.
Grandma's been telling fortunes as Madame Bovary, helped by Thing. She's even set up a tent in the living room. Morticia is appalled and wants her to stop. It's too late, though, as the police arrest her.
Gomez is juggling with his Indian clubs and hits himself on the head knocking himself unconscious. When he comes to, his personality has drastically changed.
Lurch' s harpsichord turns out to be a rare survivor of an extinct make, so Gomez is persuaded to donate it to the local museum. Lurch is left inconsolable, so the Family attempts to get him interested in other pursuits.
The stockmarket has collapsed, and thousands of people are going broke. Fester and Morticia think that the Family has lost all its money, so Morticia rallies the Family to make money without telling Gomez, as it would upset him.
There have been sightings of UFOs, and when Mr. Hinckley and Mr. Gilbert, investigators from the MSO (Mysterious Space Objects), comes across the Family on a moonlight picnic and snail hunt, they think that Lurch and Cousin Itt are aliens.
There's a local charity auction being run by Mr Henson, and the Addams Family hears about it. He doesn't want their help, but they insist on donating items to it after Morticia complains that the attic is too full and needs cleaning out.
Fester's pen-pal Madelyn Cavendish Beauregard Faversham Firestone Smith, from Paris, Illinois, is coming to visit him, and he's told her he's a handsome, romantic type with a lot of hair.
Fester reads an article that claims that apparently happy marriages are dangerous, because there is sickness hidden within. Since Gomez and Morticia are so happy, Fester thinks he'd better help out and make them have a few fights for their own good.
Gomez is insulted by his latest tax bill, which is only $84, and complains to Mayor Henson, who misunderstands and offers him a rebate, convincing Gomez and Morticia that he's incompetent.
Cousin Itt is shedding hair, and the family is worried that he'll lose his great good looks along with his hair. Fester gets out his chemistry set to produce a batch of hair restorer and prevent a disaster.
Prominent Boston socialite Abigail Addams (cousin by marriage) is in a feud with the Gomez Addams branch of the family, and is threatening to sue Gomez for his millions.
Uncle Fester is chosen to slide down the chimney dressed as Santa Claus to prove the existence of St. Nick to the children. Fester gets stuck in the chimney, so Gomez, Lurch, Cousin Itt, and even Morticia and Grandmama each don a red suit and appear to the children.
Fester gets a letter from another of his pen-pals, Diana the bearded lady. Overcome with emotion, he proposes to her by mail. After being accused of being unable to support her, Fester decides he has to get a job.
Two weeks of unfavorable weather (blue skies and sunshine) keep the Addams children stuck indoors, where Morticia and Gomez believe Fester and Grandmama spoil them too much.
Pugsley has been exercising, much to his parents' disapproval, when Fester gets a letter from his French pen-pal, Yvette, who is coming to visit. So he decides he has to get into shape, with the help of TV fitness guru Jack La Grann.
In the attic the Family discovers Great-Grandfather Pegleg' s old sea chest, and there's a treasure map in it. Morticia wants to search for the treasure, but half the map is missing, so the search for the second half begins.
Ophelia needs help with her latest romance, Horatio Bartholomew, whom she met at a Lonely Hearts' Club, but Grandma Frump objects to him, and Gomez and Morticia both think he's a phony, and try to convince Itt to marry Ophelia instead.
Granny Frump's birthday is coming up and she's been invited over. Gomez and Morticia plan to send her to a beauty spa, but Pugsley thinks she's heading for the retirement home.
Ophelia is still having problems getting a man. As Gomez observes: 'In the school of romance, I'm afraid she's just a drop-out'. Ophelia's latest beau, Montrose, has left her (the sixth this year), for the Peace Corps.
Kitty Cat seems to have a loss of appetite. At first, they suspect that he's just lonely, and try to find him a wife. However, Cousin Itt tells them that Kitty Cat may just have a cold.
Morticia has a new flame thrower, which Fester tests, setting their polar bear on fire. They make a claim to their insurance company, infuriating Mr. Henson, the manager, because his clerk, Joe Digby, had forgotten to cancel the Family's coverage.
Ophelia arrives in tears as usual, as she's been jilted again. Morticia thinks she should take up a career to distract her from her bad track record with men.