Gomez and Morticia call in child psychiatrist Dr. Black (George O. Petrie) when Pugsley starts displaying normal childhood behavior and interests.
Outraged, Gomez hires Mr. Pomeroy's (Frank Nelson) genealogist, Professor Simms (Jonathan Hole), to examine the Addams' family tree for ancestors to flaunt at them.
Morticia and Gomez decide to apply psychology to teach the girl a lesson, but it only makes Wednesday run away for real, soon winding up at police headquarters.
Displeased with the preplanned tour devised by Mr. Sam Harris (Frank Wilcox), two suspicious Soviet dignitaries, Ila Klarpe (Stanley Adams) and Miri Haan (Vito Scotti) want to meet a normal American family.
When art critic Bosley Swain (Hugh Sanders) recommends that Grandmama get a teacher to help her paint better, Gomez gladly hires none other than Picasso for Mama.
The feds get interested in the Addams Family due to Pugsley's ham radio, powered by Uncle Fester, sending out mysterious "coded" messages worldwide.
Agent Hollister (George N. Neise) recruits local tradespeople to infiltrate the house like the postman Mr. Briggs (Rolfe Sedan) and the plumber Mr. Conkey (Norman Leavitt).
The Addamses take their chances by engaging the services of a local physician named Dr. Milford (Lauren Gilbert), who pays them a house call.
Gomez believes visiting Cousin Itt (Felix Silla) - all hairy and gibbering four feet tall of him - would be perfect as the zoo's new curator.
In her hour of need, the family rallies to her side as none other than Gomez "Loophole" Addams - who's never lost a case (nor won one either) - dusts off his law degree to defend her in court.
Grandmama is saved from jail by one of her clients who she predicted would get in trouble with the police for that woman happens to be Judge Saunders' wife (Lela Bliss).
Guest stars Parley Baer and Eddie Quillan make their first appearance together on the show as bumbling insurance bureaucrats Arthur J. Henson and Horace Beesley.
Established actors Leonard (credited as Lennie) Bremen and Ray Galvin appear as a couple of bumbling moving men who are fearful of Lurch.
Grandmama prepares to be a beauty stylist, Fester forms an escort service with Lurch, the children sell drinks at a sidewalk stand (henbane), while Morticia offers fencing and tango lessons.
Uncle Fester confesses that he's exaggerated himself to his Illinois pen pal Madelyn Cavendish Beauregard Faversham Firestone Smith (Elisabeth Fraser) after she writes that she will visit.
A magazine article by eminent psychologist Dr. Francois Chalon has Uncle Fester believing Gomez's and Morticia's marriage is doomed to fail because they are too compatible.
Guest stars: French psychiatrist François Chalon, the author of the article (played by Lee Bergere), poses as a friend of Fester's in an attempt to create conflict.
To make sure his play is a big success, Gomez hires acclaimed Broadway director Eric Von Bissell to direct it.
Expatriate German Sig Ruman, a Marx Bros. favorite, appears at age 79 as Director Erich von Bissell in one of his last television roles.
Notes: Meg Wyllie plays Mrs. Dragwater, a widowed lady who attracts Uncle Fester, who has grown hair and considers himself handsome.
The boy's mother, Mrs. Courtney (Virginia Gregg), a social climber who knows nothing of the Abigail-Gomez feud, thinks that Wednesday is Abigail's granddaughter.
Family reference: Mr. Addams (Gomez's father, presumably Grandmama's husband) who enjoyed yak gravy on "glutton" bread (not gluten the way he ate it).
Note: Morticia sings "Deck the Halls", accompanying Uncle Fester decides to propose to a bearded lady named Diana.
Two weeks of unfavorable weather (blue skies and sunshine) keep the Addams clan stuck indoors, where Morticia and Gomez believe Fester and Grandmama spoil the children too much.
With Hurricane Zsa-Zsa threatening the Gulf Coast, Gomez and Morticia decide to enjoy it at their favorite watch spot, the dilapidated Last Chance Motel in Florida.
For his impending visit from pen pal Yvette, Uncle Fester is secretly trying to whip himself into shape, even recruiting guidance from fitness guru Jack LaLanne himself.
The Addams Family hire shady Captain Grimby (Nestor Paiva) and his first mate Mr. Brack (Richard Reeves) to help them find the buried treasure that was hidden by Pegleg.
Loyal "Doc" Lucas makes another appearance as the hunter living near Dr. Mbogo's village who answers the telephone through archive footage.
Joe Digby forgot to cancel the Addams's insurance policy covering household accidents, although his boss Arthur Henson ordered it.
Notes: A mango plantation (with cannibals next door), a crocodile farm in Mozambique, and tapioca mines on the top of Mount Everest are a few of the things that Gomez owns.