The Addams Family are offered a bargain: New York City's Central Park. To help them clean it up, they free animals from the zoo, but the policemen come and the Addamses are about to be arrested when Gomez produces unexpected proof that he is in fact the rightful owner of Central Park. The park was bequeathed to an ancestor, Van Dyke Addams, and a deed confirms that it is to be passed on to his heirs. But the cops still have a hard time with Gomez' story.

The Addams Family go to Nashville in search of dinosaur bones, but find themselves caught up in a pop festival instead. Lurch becomes a lead guitarist and vocalist for the group Freddie and The Frogs. There is trouble ahead when he encounters a pen pal.

The rare Boola-Boola is said can be found in the Black Lake and the Addams Family have an exciting time when they join in on the search. But they have more to look for than the Boola-Boola when Ocho the Octopus is kidnapped.

The Addams family enjoy all the fun and gaiety of Mardi Gras in New Orleans, but it's difficult to recognize them in their funny masks. Tensions mount when a couple of crooks masquerade as Fester and Gomez.

Thing finds himself in trouble when Morticia is baking Eerie Egg Bread and he falls into the mixture. The bread wins a national bake-off competition before the family knows what's going on. Then they embark on a desperate search for the bread containing Thing.

The Addams Family experience an exciting Hawaiian adventure in which they are mistaken for a Stone Age tribe: the lost Hoolamagoola. Also, Ocho Octopus discovers an underwater cave.

The Addams Family wins a piece of land on the moon. Preparations arise for a visit to inspect their new possession, and their rocket blasts off with a little help from Uncle Fester. Then comes the problem of trying to find a place to land.

A balloon race is attracting a lot of attention, but Professor Orville Byrd's balloon is sabotaged during its entire route from New York City to Los Angeles by The Nasty Brothers. The Addams Family decide to lend a helping hand to the imperilled professor.

Spooks are scaring everyone away from The Old Prospector's Land and they try to scare off the Addams Family as well when they arrive, to no avail. The Addams family enjoy themselves by outspooking the spooks.

The Addamses visit a circus which they discover as "The Worst Show On Earth". They decide to help when Honest John tells them of its troubles with a rival circus stealing its workers.

The Addams Family take their first ocean voyage, but the sight of Ali the Alligator and Ocho the Octopus dancing has every passenger aboard spooked; so much so that they jump overboard. The crooked Lefty and Joe promptly steal all the valuables aboard as a result, but the Addamses are soon in hot pursuit of the thieves as they attempt a getaway in a speedboat.

Madame Hoodoo finds all her curses and spells fail miserably to frighten the Addams Family and things digress from bad to worse for her when her love potion backfires and Granny puts a blessing on her. She decides to go back to Haiti for advanced Voodoo lessons.

Wednesday Addams chooses to visit the Roller Derby for her birthday celebration, and the Addams Family are soon involved between the bitter rivalry of The Angels and The Demons, resulting in the Addams Family playing for The Angels and a gruesome battle of Demons versus Addams Family.

Following the trail of the great pioneers, the Addams family go to the wide open spaces of the West and find themselves outsmarting such characters as Wyatt Burp, Silly The Kid and Badmouth Ben.

Pugsley wants a horse for his birthday celebration, so the Addams Family go to Kentucky to buy one. They choose a worn-out old nag named Bones, but Granny's cooking does her so much good that she becomes a fast runner again and is ridden by Pugsley to victory at the Kentucky Derby.