Elroy Jetson invents a time machine that takes his family back to prehistoric times, where they meet the Flintstone family.
Judy, along with her friends and family, help save a kidnapped rockstar and a whole planet full of tiny aliens from the music hating Felonia Funk.
Mysterious production delays at Spacely's Ore Orbiting Asteroid, forces Spacely no choice but to put George in charge, who has to figure out who or what is disrupting his plant. The rest of the family also adapt to their new home and make new friends.
Due to interference with the TV, Elroy discovers that Mr. Cogswell's plant will be robbed by the Gridfather, which he is unable to convince George about. To appease him, George investigates anyway, which gets him into trouble with the law when the police think he's working with the Gridfather.
Elroy's new invention accidentally vastly increases Astro's intelligence being able to help George at the plant and other places, none of which last for long because Astro is still a dog. Elroy also feels put out due to Astro losing interest in playing with him.
In her attempt to buy a new car to impress a new boy, Judy takes on several different jobs, but the workload becomes so big, that the entire family have to pitch in.
George becomes the unwilling test subject for an experimental new stain remover, which turns him invisible.
Just when Judy couldn't be more humiliated by dancing with her father at the father/daughter dance, he has to cancel at the last minute and sends in Grandpa Jetson as a substitute dance partner.
George finds out a toothache is the cause of his recent bad nights. He is giving a pair of experimental dentures that can temporarily relieve the pain, but finds out too late they're for dogs, making him spontaneously act like a dog.
The city is under sudden scrutiny of renewing every robot's particular component known as a B.E.B.O.P., which has put Mac in danger of being dismantled if he doesn't apply for one. Rosey finds a loophole through marriage, although she quickly regrets it once he starts getting in her way. This is also bad news Spacely Space Sprockets, but good news for Cogswell Cogs.
George buys Jane a new plant called the Martian Creeper to win at the annual Garden Club show, but it has a mind of its own, and is impossible to get rid off.
George gets a rare day-off, but its then filled with the needs of family. When he gets over tasked, he uses a cloning machine, which creates a duplicate of George, who does a much better job.
After Spacely is guilted into taking a thirty year long overdue vacation with his wife, he is forced to find a substitute to run his plant, with George fulfilling the requirements necessary. With Spacely out the way, Mr. Cogswell sees this as the perfect opportunity to ruin the company.
