Theo and Cockroach decide they want to learn to fly, but Cliff doesn't want to waste his money on another dream of his son's. Carl Anthony Payne II as Cockroach. First appearance of Deon Richmond as Kenny, a.k.a. "Bud".

Cliff is in charge when Clair leaves for 10 days.

Denise holds a bridal shower for her pregnant and bride-to-be friend Veronica, but finds out some disturbing information.

Absent: Sabrina Le Beauf as Sondra Huxtable, although mentioned.

Clair's sister decides she wants to be a mother. Cliff takes Rudy and her friends out to eat at a fancy restaurant.

Theo and Cockroach come home unusually late from a track meet, and the Huxtables got a phone message earlier from the track coach. They both deny anything out of the ordinary happened, but attorney Clair knows better. A mock trial is held for Theo and Cockroach at the Huxtables' for Clair to get to the bottom of the situation.

While setting up the house as a "haunted house" for Halloween, Cliff discover's he's lost a power drill that his neighbor loaned to him. First appearance of Wallace Shawn as Jeffrey Ingalls.

Vaudeville is shown to Rudy and her friends, who are unimpressed.

Rudy has to play the violin in music class at school, but gets jealous because she thinks her classmates' instruments are more fun. Deon Richmond as Kenny. Naoka Nakagawa as Kim.

Theo visits a friend in the hospital who has cancer. Troy Winbush as Denny. Adam Sandler as Smitty. Special appearance by Armand Hammer.

Vanessa tries out for the drum major at school. Theo playfully mocks her efforts, but learns from friends that Vanessa is the target of sexism and intervenes on her behalf. Meanwhile, Cliff cooks up a batch of extremely spicy chili as Russell tries to pay off a loan from an old friend. Deon Richmond as Kenny. Troy Winbush as Denny. Guest appearance by Dub Taylor.

Rudy writes a fairy tale, and the colorful story is acted out in her fantasy. Members of the family play the roles of a village full of happy people and a mean group that ruins their fun. At the end of the episode, Rudy declares that when she becomes "president of the world", she will put a stop to all mean people. Cliff and Clair proceed to watch news reports of weapons' testing and bombings, and urge her to "hurry, because we need you right now." Earle Hyman as Russell.

When the Huxtable men go fishing, Theo catches a dead body, and soon attracts attention from the media. This success goes to his head, while Rudy and Kenny find a nest of baby birds, but the mother bird is missing. The two stories eventually cross in a surprising-and rather humiliating-lesson for Theo. Deon Richmond as Kenny.

Sondra goes into labor, and Elvin is a nervous wreck.

Deon Richmond as Kenny. Michelle Thomas as Justine. First appearances of Reno Wilson as Howard, and Elizabeth Narvaez as Kara. Guest appearance by Naomi Campbell.

Sondra gives birth to twins—a boy and a girl—who are named after Nelson Mandela and his then-wife Winnie. Elvin decides to return to medical school.

With the rest of the family gone for the night, Theo throws a "small" party that gets out of control. Troy Winbush as Denny. Reno Wilson as Howard. First appearance of Alex Ruiz as Lou. Cameo appearance by Joie Lee.

Phylicia Rashād (Clair), Malcolm-Jamal Warner (Theo), Tempestt Bledsoe (Vanessa), and Elizabeth Narvaez (Kara) appear on the episode of A Different World which airs later that evening.

Rudy wants to change some of her rules. Voice-over by Ed McMahon (from The Tonight Show Starring Johnny Carson).

Sondra bemoans taking care of the twins.

Theo wants to go to Egypt for an archaeological dig. Reno Wilson as Howard. Alex Ruiz as Lou. Deon Richmond as Kenny.

Denise returns from Africa, with a new husband and stepdaughter in tow. Joseph C. Phillips and Raven-Symoné join the cast as Martin and Olivia Kendall. Last appearance of Peter Costa as Peter.

Rudy and one of her classmates have a crush on each other, but peer pressure could ruin things. Guest appearance by Elaine Stritch.

Denise invites Martin's ex-wife Paula for Thanksgiving dinner. Clair continues to send Cliff to the store for last-minute groceries, despite the fact that it is a cold and rainy Thanksgiving Day. Victoria Rowell as Paula.

Cliff is in charge while Clair and Denise are out of town. Guest: Elaine Stritch as Mrs. McGee

Theo thinks about proposing to Justine. Kenny, who was "born to sing the blues," gets the chance to sing with a legendary blues singer/guitarist. Deon Richmond as Kenny. Michelle Thomas as Justine. Guest appearance by B.B. King

Rudy steals money from Clair to buy a sweatshirt (Rudy and her friend Kim do the Electric Slide). Deon Richmond as Kenny.

The Huxtable family erupts in a battle of the sexes after Theo suggests having a stripper at Martin's post-wedding bachelor party.

Rudy and Kenny do a video project.

During his first parent-counselor meeting, Theo and a single mother discover mutual attraction. Rudy meets Stanley and the two are immediately smitten with each other, much to the chagrin of a jealous Kenny.

Vanessa and Dabnis have relationship problems, as do Rudy and Stanley.

Kenny pretends that he is dating another girl, in order to make Rudy jealous and force Stanley out of the picture.

Cliff and Clair go to a local radio station for a live salsa performance. Kenny babysits Olivia.

Kenny turns to Rudy and Cliff for help after lying to his girlfriend about plans for her birthday party. Cliff and Clair work on their income tax return.

Theo prepares to graduate from New York University. An elated Cliff continues to invite additional people to the ceremony, despite the fact that Theo only has a limited number of tickets.

As Theo graduates from NYU, Cliff remembers how a 14 year old Theo received D's in 9th grade and had no desire to attend college at all. Denise telephones and reveals that she is pregnant. Olivia leaves to join Denise and Martin in Singapore.