The show centers on Oggy, a content and lazy, albeit very tender fat blue cat, who would usually spend his days watching TV and cooking - if it wasn't for the three pesky roaches in the household: Joey, Dee Dee and Marky (named after members of the punk group Ramones). The trio seems to enjoy generally making Oggy's life miserable, which involves mischief ranging from (in most cases) plundering his fridge to such awkward things like hijacking the train Oggy just boarded.
When a new girl cat named Olivia moves into Oggy's neighborhood, he instantly falls in love with her. But, not only are Bob and Jack (who are working together) also pining for Olivia, when the cockroaches see the whole thing, they pull out all the tricks they can to throw a wrench into this relationship. (NOTE: This episode was released together with the 13th anniversary of the show.)
Oggy and Jack become lighthouse keepers for the day. While Jack gets a fear of heights, Oggy once again chases Marky and Joey, who have the book, while Dee Dee is directing boats all over the place.
Oggy and Jack find a new job − Oggy and a sleep deprived Jack become garbage men. But the worst has just come as the cockroaches mess up the controls and things go crazy.
Dee Dee thinks he is too fat so he decides to go on a diet.
During a lovely day in the yard, Joey photoshops some pics and makes Oggy believe that he has had a fling with Olivia, the lovely neighbor. Oggy turns jealous and begins to act very strangely. No one can understand why.
It's Joey's birthday. And Marky and Dee Dee decide to throw a surprise party. The two post an invitation on the internet and hundreds of roaches show up the next day.
After Oggy gets everything ready for Jack's birthday party, things go airborne as the roaches blow up all the hot air balloons with helium and release them in the attic, eventually making the house fly into the city.
Exasperated at being once again, victim to the roaches' practical jokes, Oggy orders a mysterious kit. When the kit arrives, it turns out to be an airtight, hermetically sealed CCTV room where he can close himself up and then, with help from a console, activate various traps he has set all over the house.
Oggy and Jack go hiking on the GR 20 trail across the island of Corsica... so do the roaches. They sabotage Jack's compass and the two cats get lost in the wild, which turns out to be pretty frightening.
Oggy has just washed his clothes, and is about to dry them, when the cockroaches come up and steal the clothes, starting a battle between them on the clotheslines.
Oggy's relatives arrive at Oggy's house for a visit. As such, Oggy is determined protect his visitors from the roaches' plots, or else the visit will turn into a historical disaster.
The roaches have trapped Oggy with lights and nailed his shadow as they are about to, as usual, raid the fridge. When Oggy breaks free, his shadow is still trapped and then becomes stray. Will Oggy be able to get his shadow back?
One day, Oggy finds a parrot which repeats anything he says and does, and decides to take it home. As the parrot is at Oggy's house, Dee Dee becomes very obsessed with the parrot, and wants to get its feathers only for... food?
A pencil with a magical drawing ability has just fallen onto Oggy's house yard, and the cockroaches plan to use it against Oggy.
Oggy finds a weird cube on his yard, and decides to take it to his living room, not knowing the cube soon causes trouble for his friends as it grows bigger until it entrances him.
Oggy has problems expressing his feelings for Olivia. To make matters worse, the roaches come along to ruin Oggy's every attempt to impress Olivia.
When a helicopter lands on Oggy's yard, Oggy deicdes to take control of it for a while. Suddenly, Joey falls in love with the helicopter, thinking it's a giant female dragonfly and leaving the other roaches in confusion... and harder for Oggy to control it.
Olivia notices a pimple on her face and refuses to leave her home. What will Oggy do to help Olivia get rid of the pimple?
It's an icy day, and when Bob crashes into a fire hydrant, Oggy's yard turns into a large ice rink. Oggy and Olivia decide to have some fun on the rink by going skating.
After being electrocuted, Oggy and Joey turn into a realistic cat and a realistic roach. Nobody recognizes them, not even Jack nor Marky nor Dee Dee.
Following an explosion provoked by the roaches, the house and everyone inside find themselves in outer space and heading straight for the sun!
Olivia is taking part of a marathon, and Oggy comes with a bag with a bottle of water inside. However, the roaches, as usual, also come with him and are up to no good, stealing the bag, resulting in a big chase while the race is on.
Marky eats some tree seeds which make him grow really, really big, turning him into a giant roach who wants more and more food.
Oggy gets a package containing a spray bottle, which he hopes to be able to kill the roaches. However, as the roaches have it in their hands, they have made everything droopy and soft.
After the cockroaches destroy Oggy's TV, Oggy and Jack make the cockroaches do Olympic events themselves.
Oggy gets a new job as an apprentice cook in a chic, modern restaurant. Bob is his boss. All is good until the cockroaches come along and try to sabotage Oggy's work.
Oggy is taking part of a Mister Cat contest, but then Bob also enters with his new pet cat. When it comes to the first round, Bob decides to ask help from the cockroaches to fix the contest to make sure his pet cat wins.
An Easter Bell accidentally drops an Easter egg in Oggy's yard. Oggy finds it and decides to use it to impress Olivia. The cockroaches want it too, and they want to eat it.
After the cockroaches steal Oggy's nose, Joey and Oggy fall to the center of the earth. Meanwhile, Dee Dee and Marky tell Olivia of this, and they go down to save their friends.
Oggy finds a butterfly and teaches it tricks. Jealous, Bob dresses Marky up as a butterfly and the two compete in a race. Olivia makes a butterfly race, the winner will get a trophy and honey. Who will win?
Oggy buys a solar panel, and sees its effects. Then, Oggy goes crazy and uses everything from solar energy. Soon the cockroaches decide to use them as a weapon to chase Oggy with burning heat.
Oggy is fixing himself up a veggie drink, so what could be more healthy than that? But when his back is turned, the roaches put some junk into the blender. When Oggy drinks it, the taste is as gross as dirt! And while he is cleaning dishes, he suddenly becomes invisible - an unintended but intriguing side effect.
Oggy starts scratching his head and lends his comb to Jack who lends it to Bob and the three of them start scratching their heads. Olivia sees this and tries to clean their hair. When all else fails, call in the cockroaches...
Jack brings his nephew to Oggy's house, wanting Oggy to look after him. But Jack's nephew is lazy, and only wants to eat cereal flakes for breakfast. Even worse, he also makes friends with Joey, and they both start to trash the place.
Oggy is getting mighty bored living all alone. As he vacuums the spare room, he suddenly has an idea: get a roommate!
When everyone around the neighborhood is bored, Olivia decides to have a bathtub race. Oggy, Jack, and Bob sign up with their customized bathtubs while the cockroaches join in using Oggy's toilet bowl.
Oggy has returned to his house and shocked to find every thing gone in his house which makes him upset. With the police useless (literally), Dee Dee decides to find the culprit.
Oggy becomes a taxi driver, and the roaches try to sabotage the business.
Olivia and Oggy head off in their camping car for a beach vacation. The roaches come along for the ride and decide to ruin Oggy's vacation of course. Also, Bob comes along caravanning near Oggy and Olivia's the next day, making Oggy (and Olivia) very disturbed by Bob's furniture. Can Oggy save his camping trip?
Jack has become the driver of a new streetcar that runs through the neighborhood. Olivia also brings some kids to ride the streetcar. The cockroaches slip into the machine and raise heck. Even worse, this makes Bob crushed by Jack's streetcar several times. Can Oggy stabilize the high-speed situation while Jack is asleep?
Jack got three tickets to the Mumbai Chricket World Cup 2012, however, Joey only went there to steal the princess' precious diamond. The cockroaches stole the three tickets and going on their way on their plans.