Reggie Van Dough doesn't believe Richie's statement that his mansion is burglar-proof and uses Professor Keenbean's gadgets to get past the security devices of the manor.
Richie tries to solve a mystery of the missing jade Maltese Monkey statuette, which is claimed by one of the suspects to be up for auction because the museum needs the money.
A million-dollar stamp blows out the window of Richie Manor. Irona finds it and inadvertently uses it to mail a letter to China. When she realizes her error, she musters all her super magnetic powers to find it.
The Shocking Lady, who uses electricity as a weapon, robs two of the Rich's charity functions. Richie enlists the aid of Professor Keenbean, who gives him super rubbery bubble gum, which offsets the Shocking Lady's electrical power.
Forbidden to accompany Richie and Gloria on their picnic, Reggie plans revenge with an array of misch ievious pranks. With his security device, Richie sees Reggie's ultimate joke: an automated abominable snowman.
Chef Pierre, fed up with Dollar's food thefts, decides to remove the kitchen from Rich Manor. First, he tries the tree house, but Dollar uses a trampoline to get in; finally Pierre hires a plane to fly the kitchen away from Dollar's clutches.
Cecil, Richie's friend from Australia, enlists his help to clear his father from a diamond-smuggling rap. Richie thwarts the evil research scientist Dr. Kanga and his remote-controlled kangaroos, who are actually doing the smuggling.
Things become impossible at Rich Manor with Professor Keenbean's invention that invents inventions. The entire household becomes so automated, Mr. Rich disgustedly hurries to the inventor's laboratory to order the machine destroyed.
Thieves have stolen almost every animal from Mystery Mountain and Richie flies to Africa to investigate. Once there, Richie discovers Barnum Bullwhip, the famous animal trainer turned crook, is responsible for the thefts.