In order to impress a girl, Danny does some tricks with an invisibility gadget from Pluto. Unfortunately, the "side effects" start catching up with him back on earth.
Two interplanetary thieves rob Madame Mussaud's Wax Museum of its new Partridge Family figurines, aiming to create a duplicate Partridge Family act and make a fortune on other planets.
With Danny's coaching, Orbit eludes the town dog catcher by disguising himself as a janitor, a dancer, and bass drum in order to avoid paying for a dog license.
In order to get out of their obligation to take Laurie to the Harvest Ball Keith and Danny arrange for a computer date, which arrives as a clumsy robot named Stanley Steel.
Danny's newest invention crash lands the family rocket in Hollywood, where Keith is drafted to replace the star of a movie where success goes to his head.
Laurie's new boyfriend cancels their date, giving her cause to write him an angry letter. He later calls with a good excuse, but only after Danny has mailed the furious letter.
While helping with the housecleaning, Danny unknowingly disposes of a priceless antique entrusted to Shirley for safekeeping. When it is returned broken, the whole family becomes stuck together by a new super-glue.