Dick's one lonely guy when Dr. Albright goes on vacation. Sally and Harry are lured by skin-care products that promise eternal youth.

Dick receives a roundabout lesson in family values from Dr. Albright's loopy brother, who claims to have been abducted by aliens.

Flummoxed by feminism, Dick dons a dress to infiltrate Dr. Albright's women-only study group. Harry and Sally get jobs at a pancake restaurant.

Romantic woes between Sally and Randell don't deter Harry from signing up with a dating service. August tests Tommy's loyalty.

Thanksgiving's an alien concept for the Solomons; it's an annoyance for Sally (who must cook), and an onus on Tommy. But Harry finds romance.

A Frenchman asks an unwitting Sally to marry him so that he can remain in the country. Tommy discovers he has a talent for flower arranging and styling. Dick is inspired to discuss marriage with Albright.

A shy and brainy librarian is attracted to Dick, while Sally realizes why she's attracted to Officer Don. Meanwhile, Tommy and Harry write a “killer” episode of The X-Files.

Dick meets Albright's parents; Sally decides to move in with Nina.

Venusians disguised as gorgeous women plot to plunder Earth of its riches.

Dick, Harry and Tommy set out on a cross-country odyssey to save Earth from a Venusian plot.

Albright's father walks out on his wife and into Sally's life; Harry begins his career as a radio shock jock when he walks into Rutherford College's radio studio and finds it unoccupied.

Randy "sells" Harry to a circus, where he achieves popularity as the act "Hargo the Alien". In order to try to find him, Tommy and Vicki visit a psychic, but it turns out that she's actually seen the Hargo act herself and so knows where Harry is. Meanwhile, the loss of Harry means that the aliens' annual status report cannot be sent, so the Big Giant Head punishes Dick for not submitting it by slowly shutting down his brain.

As 1998 comes to close, Dick worries that he hasn't accomplished anything worthwhile and struggles to do something to make the past year count. Meanwhile, Officer Don becomes annoyed with Sally after she uses her feminine wiles to persuade him to get tickets for Rutherford's exclusive Starlight Room, then changes her mind when he succeeds. At Happy Doug's bar, Harry and Tommy plan an explosive New Year's party and Harry hires on his old night school friends, Larry and Mrs. Deguzman, but they turn out to be layabouts.

When at an Italian restaurant, Sally meets an Italian-American man and begins dating him. After learning that he is known as Sammy 'The Butcher' Marchetti, she and Tommy assume that he is some kind of mobster, and when he starts giving Tommy errands to run, Tommy is delighted to think that he is an errand boy for the mob. Sally, however, is less than happy. Mary suggests that she and Dick go on a couples retreat so that they can work on their communication skills. Despite her good intentions, everybody, including Harry and Vicki, embraces Dick's openness and criticizes her for pointing the finger.

Mary invites the Solomons on a murder mystery weekend, thinking that it might prove a fun activity. However, she goes down with food poisoning and retreats upstairs to her room. Downstairs, meanwhile, the Solomons are horrified when the first murder takes place, believing it to be real and, annoyed at the apparent lackadaisical efforts of Scotland Yard detective "Inspector McAffrey", they decide to try to solve the mystery themselves.

Mary is tired of spending all of her time with Dick's family and so suggests that the pair befriend another couple - her tennis partner Gwen and her husband Larry. Dick is apprehensive but quickly warms to the pair; however, they soon start brushing he and Mary off, so Dick finds them at the tennis club, where they tell him that it's because they find Mary to be tedious and self-absorbed. Meanwhile, Sally, Harry and Tommy are forced to use the laundromat when their washing machine breaks down, and immediately fall in love with the place, even setting up a laundromat court, in which Sally, imitating several of the phrases and mannerisms of Judge Judy, settles squabbles over people's washing.

The Solomons visit a parallel universe, in which they are living in New York City, where Dick is a highly regarded attorney, Sally writes a sex column and Harry is President of NBC, while Tommy is a star on Saturday Night Live. Despite this, Dick is unhappy because he cannot find Mary; however, upon entering a basement bar he discovers her, a failed actress-turned torch singer who has renamed herself Kiki Lyle. Meanwhile, Sally discovers that Don is the Mayor of New York, and that she isn't his girlfriend, but his mistress.

Dick takes Mary up to his penthouse and wines and dines her, but she tells him that she doesn't believe in true love anymore, no matter how hard he might try to persuade her otherwise. Meanwhile, Sally isn't happy being second fiddle to Don's wife so she asks him to break up with her. Don, however, wants to run for president and so refuses, so Sally breaks up with him; while at NBC, Tommy's huge ego and demand for a high pay on Saturday Night Live leads Harry to fire him.