Shnooker receives a letter from a thief named Fleetfeet Fogarty. Fleetfeet plans to steal the Minerva Medallion in a museum. Shnooker is not worried because he installed a security system, and there are policemen and security guards around and inside of the museum. However, Fleetfeet is extremely fast and he steals the medallion. Shnooker tells Mumbly to arrest the thief.

At a top-secret testing ground somewhere in the Mojave desert, Inspector Shnooker witnesses a new weapon to aid police in crime fighting. The SCC-1 (Super Crook Catcher) is the world's fastest car, which also triples as a jet plane and a submarine. Mumbly arrives in his beat-up junk-pile of a car; Shnooker orders him to beat it, as this is top-secret, and literally smacks his vehicle around in the opposite direction. After the inspection, the SCC-1 pulls into the garage... where it is immediately ripped off by Big Duke, the country's most-wanted crook, who intends to use it for his own evil purposes and renames it The Super Cop Clobberer.

Mumbly and Shnooker are assigned to guard people and their valuables at a mansion, where a magician named The Great Merlini is performing. Shnooker thinks that it is an easy job, but Mumbly is suspicious of Merlini. When Merlini uses a magic trick to steal Shnooker's badge, a necklace, and a watch, Mumbly goes after Merlini to arrest him. Merlini tries to escape using his magic wand, but Mumbly is always faster than he is.

At Crabstone Prison- a/k/a The Rockpile- every precaution has been taken to make it escapeproof. But Breakout Barney stows away inside a trash can the guards put out, and proceeds to head to the border. The next morning, Chief Shnooker investigates the scene of the breakout. Lt. Mumbly arrives in his broken-down jalopy to look for clues. Schooker orders Mumbly to bring in Breakout Barney in 24 hours or "turn in your badge!"

Chief Shnooker receives a call from the Mayor, and he is ordered to solve a case that involves "a monkey on top of a building". When Lieutenant Mumbly enters Shnooker's office, Shnooker tells the dog detective to leave because he is confident that he can solve the case by himself. Shnooker immediately gives the task to Mumbly when the detective finds out that the "monkey" is actually a huge destructive gorilla called Bing Bong that is terrorizing their city.

Shnooker hires a robot detective named Lieutenant Nuts and Bolts. Mumbly and Nuts and Bolts have to stop a cat burglar known as The Phantom Cat from robbing a safe. Shnooker tells them that the first detective to arrest the cat burglar will keep their job, and the other detective will lose their job.

Graffooey the Great Graffiti Artist is covering Mumbly and Shnooker's city with graffiti! The detectives have to stop Graffooey before he causes even more damage to their city. Shnooker tries to stop Graffooey when the painter barges in the mayor's office, but Shnooker runs into a wall that Graffooey painted to look like a door and a moustache is painted on his face. Mumbly drives to the mayor's office and Shnooker assigns him to arrest Graffooey.

George Beefsteak's prize bull, Big Red, suddenly disappears during a livestock show. Lieutenant Mumbly and Chief Shnooker are called and they investigate the strange event. While Mumbly writes some clues down, Shnooker re-enacts the scene of the crime by standing on the platform where the bull vanished. The platform flips and a rustler known as the Lonesome Rustler appears from the other side of the platform with the bull, and runs to his truck. The platform flips again, and Shnooker orders Mumbly to rescue Big Red from the Lonesome Rustler.

KQQQ-TV devotes a half-hour of their airtime to small talk with Shnooker, Chief of Police, broadcast directly from his office. Shnooker reports that he is cleaning up crime in their fair city, when all of a sudden he is deluged with garbage. The telecast is interrupted with a news report that the mysterious Mr. Littermugg has been busy littering the streets with garbage! His modus operandi: first a banana is dropped, followed by a pile of garbage; even the roving reporter on the scene isn't immune to such a gruesome attack. Chief Shnooker alerts the sanitation department, but even they are helpless to keep up with the numerous amounts of garbage left by Mr. Littermugg, so he assigns (or, rather, co-assigns) Mumbly to the case, giving him 24 hours to do so.

The Purple Baron, a pilot who flies a biplane, has frozen all of the people in Mumbly and Shnooker's city by using his immobiliser beam! Mumbly was not affected by the beam, and he notices that no one is moving when driving to the police headquarters. Shnooker is frozen, but he left a message for Mumbly on a tape recorder. Shnooker tells Mumbly that Purple Baron shoplifts and robs people of their money while they are immobilized, and the dog detective has to stop him.

Chief Shnooker goes on vacation at a ski lodge for a skiing lesson, and Lieutenant Mumbly is in charge of the police station. A large creature called Snow Foot is scaring everyone away from the lodge. Shnooker is not afraid of the creature, and he tries to go skiing. After encountering Snow Foot, the detective frantically calls Mumbly for help. Mumbly drives to the ski lodge in his beat-up car and Shnooker asks Mumbly to arrest Snow Foot.

Mumbly and Shnooker want to see the launch of a rocket going to Mars. However, two criminals named Hemlock and Alfie are after them.

Lt. Mumbly is called away from the water cooler by Chief Shnooker for another assignment: a complaint about strange happenings at Dr. Seek's laboratory. Mumbly drives his beat-up run-down jalopy over to the lab to find out what he's up to.