"Lost in Space" continues a plot line established in the episode "Naked to the Limit, One More Time."

In addition, several of the episodes that aired in between "Naked to the Limit, One More Time" and "Lost in Space" contribute to the plot line in question.

In "Lost in Space," Jeff endeavors to prove to slave-owning aliens the legitimacy of his love for wife Hayley Smith in order to escape the spaceship.

The episode received positive reviews from television critics, with praise directed to the visual style and humor.

Emperor Zing, Foster, the rest of his security team, along with half the residents of the spaceship belong to Roger's race of aliens.

However, Sinbad reveals there is a cost: if Jeff fails to prove his love, his penis will be removed and stored in a fishbowl—an operation the aliens call "the smoothening" (similar to the missing genitalia of a plastic doll).

The memories are presented via multiple video screens, allowing the Emperor and the rest of the slave-owning aliens to determine whether or not Jeff's love for Hayley is sincere.

While Jeff initially has no problems declining the slave alien's advances, he becomes tempted when the creature transforms itself into a Hayley lookalike.

After lowering himself into a pit where The Majestic resides, Jeff complains to the creature that he did not show any of the positive memories of his marriage.

He quickly becomes discouraged when he learns there are over 47,000 planets named Earth, and that it will take a long time to reach his destination.

At the time, he feared that viewers might grow more interested in a plot line involving his alien planet as opposed to the usual setting of the show.

Among the series of episodes broadcasts in between and that touch on the plot in question includes "Spelling Bee My Baby," "The Missing Kink," etc.

Regular composers Walter Murphy and Joel McNeely did not score the episode; instead, American rock band Wax Fang provided the music.

Club gave the episode an A− and stated: "It may take a while for Jeff to get back to his beloved, and he’ll go through more hell to get there, but American Dad!

"[6] Robert H. Dawson of TV Equals gave a positive review, noting: "It was clear that the artists and animators had a lot of fun with the alien setting, and it pays off.