Wednesday recites an incantation and accidentally brings Cousin Vlad Addams back from the dead. He plans to kill Gomez and marry Morticia but is thwarted in his attempts. As Gomez becomes despondent over the thought that Morticia might be accepting Vlad's advances, the family plots to send Vlad back to the grave.
Gomez and Morticia are nervous for Wednesday and Pugsley when the school board insists they attend public school. After returning home upset over the death of a dragon in Grimm's fairy tales, a representative from the school visits the Addamses to straighten out how their children should be educated.
Fester lapses into depression after being dumped by his girlfriend Cruella. The family helps him out by getting him a mail-ordered bride. Just to make sure the relationship works, Mama mixes up a love potion which Wednesday administers.
Grandpapa Addams comes to visit while his neighborhood undergoes construction. Having noticed how much Grandpapa misses his late wife, the family decides to surprise Grandpapa with a two week vacation at Club Dead. Grandpapa mistakenly thinks he is being sent to a nursing home and goes out of his way to prove his youthfulness to the rest of the family.
Puglsey pilfers one of his parents' love letters to give to a teacher he has a crush on. The teacher visits the Addams home and mistakenly believes that Gomez wrote the letter. She begins to fall in love with him and Gomez must come up with a way to let her down gently.
Cousin Melancholia comes to the Addams home after her fiancée leaves her at the altar. Everyone searches high and low for a new suitor for Melancholia and after several unsuccessful attempts, the family lawyer is coerced into courting Melancholia.
After Wednesday gives classmate Harold Pomeroy a black eye for claiming his family is better than hers, Harold's pretentious father Cecil pays the Addamses a visit for an apology. Meanwhile, the Addamses hire a professor to research their genealogy.
Lurch is reluctant to attend the Butler's Costume Ball because of the disaster that occurred the last time he tired to dance. Gomez, Fester, and a hired dance instructor do their best to teach Lurch how to cut a rug.
Wednesday fails an art assignment for painting a black rainbow. Her teacher, Miss Crank, cautions that Wednesday may fail art if she refuses to use color. Gomez hires world famous artist Leopold DaMinci as an art tutor but ends up with a pizza delivery man named Leo DaMinci instead. Meanwhile, Mama enlists Fester's help when she falls in love with the mailman.
Cousin Itt takes refuge in the Addams home after his girlfriend kicks him out and he loses his entire fortune at the roulette table. He tries to get a job at a fast food restaurant, a hair salon, an office, and finally a zoo before finding the right career to help get him back on his feet.
The police detain Wednesday for setting 20 starving alligators loose in the sewers. Gomez and Morticia ground her for cruelty to animals. Wednesday can't handle being forced to give up her weapons and methods of torture, so she runs away from home.
It's Thing's birthday but unfortunately none of the Addamses remember. To top it all off, Thing is accosted by the family for opening Fester's mail without permission. Thing runs away and the stress of his disappearance causes Fester to start growing hair on his head.
Gomez and Morticia celebrate their 13th wedding anniversary by telling Wednesday and Pugsley the story of how they met. Years ago, Gomez was betrothed to a blonde and waif-like woman named Ophelia, despite having no affection for her. Complications arose when Gomez met Ophelia's sister Morticia and fell in love at first sight.
Gomez and Morticia continue the story of how they came to be married. Gomez struggled with how to get out of his arranged marriage to Ophelia and both Cousin Vlad and Cousin Itt became involved in the dilemma.
After learning of the stock market crash Morticia mistakenly believes that the Addams family is broke after listening in on key parts of her husband trying to purchase a tomb. She and the rest of the family all try to find jobs, with varying degrees of profit and success.