Oggy's sister Monica pays him a visit. Jack who is love is inspired to be a thrill-seeker like her. The cockroaches as usual try to spoil the party. Oggy is traveling by train to the suburb; the cockroaches plan some mischief. Oggy wishes to go to the circus but is sadly broke. Jack tries to make him happy by creating his own version of the circus featuring the cockroaches.
When Oggy is enjoying some jam, cockroach Joey's girlfriend, a bee, hovers over it much to the irritation of Oggy. Joey and the bee literally have a honeymoon. The cockroaches play a cruel joke on Jack when he is busy renovating Oggy's house. They put cement in his drink resulting in Jack becoming a statue. Oggy adopts a snail not knowing that eventually he will be in for a slippery ride!
The cockroaches play a trick on Oggy and Jack. They dress up as Oggy and attack Jack. Oggy's attempt at capturing the cockroaches' last moments fall flat. Oggy repeatedly gets hiccups after having a sip of coffee.
Even as Oggy indulges himself with toys during Christmas Eve, an extended boxing glove punches Jack knocking out his brain. Jack dictates over Oggy as the two strive hard to net the cockroaches. The cockroaches wreak hell in Oggy's life by renting it out.
When giving Dee Dee a bath, the cockroaches waste a lot of water resulting in the entire neighborhood getting flooded. Jack and Oggy decide to have a race in order to settle their fight over the remote control. Hell breaks loose. Oggy accidentally stamps a frog. The frog turns into a fairy who changes his shopping bag into a van. When Jack comes to know of the incident, he goes in search of a frog to test his fortune.
Dee Dee wins a cow in a lottery and takes her to Oggy's home. He then gets a bull to get more milk but the idea falls flat. Inspired by a book on flower power, Oggy decides to become a hippy. The cockroaches taunt him but all their attempts fail. Jack boasts about his great golfing abilities but Oggy who is his caddy knows that he is lying. Things take a comic turn when Jack's wild swings and the cockroaches' antics affect both the cats.
Oggy is doing his laundry and wants to check out a new super-strong detergent. The cockroaches have evil intentions. Bob moves into Oggy's house temporarily as his house is in complete disarray. Oggy gets bitten by a venomous snake and Jack is taking care of him. The evil cockroaches try to make things worse for Oggy by letting the poison act.
Oggy gets struck by lightning while attempting to repair the TV antenna. The incident endows him with the ability to walk through anything. One day, Oggy find Nessie, the Lock Ness Monster, in his pool! He goes all out to take care of it much to the consternation of Dee Dee whose fridge the monster has just eaten. Jack leaves an ostrich with Oggy. The bird eats anything and everything at home. Dee Dee and Marky plan to eat him.
After a lot of thought, Oggy decides to axe a pine tree for Christmas festivities at home. The cockroaches as always try to spoil Oggy's plans. One day when gardening, Oggy hits an oil patch. Now this means a lot of money but unfortunately that doesn't turn out to be the case. Jack and Oggy go jogging in Bienvenue Park. Oggy trips and falls and to make matters worse the cockroaches arrive there too.
Oggy is assigned a challenging job. He has to look after a space station. Sadly for him, the cockroaches arrive there too. Oggy is selected for US Army service. The cockroaches plan to wreck the Boot Camp. The cockroaches stick bubble gum on Oggy's telescope too fool the cats into believing a meteor is coming.
Oggy is putting his creativity at play with clay. The cockroaches make a clay voodoo doll of Oggy and attempt to wreak havoc in his life. After returning from a trip to Bievenue Zoo, Jack and Oggy discover a boa constrictor in the picnic basket. Oggy is sick. Even as Jack is trying his best to cure him, the cockroaches play havoc with the syringes.
The cockroaches' pranks causes disruption in Santa Claus' gift delivery services. Oggy offers to help Santa. Oggy gets invited to a lavish party only to have the cockroaches ruin his day. It is Jack's big day. He is participating in a big racing tournament. The cockroaches follow him to wreak havoc.
Jack gifts Oggy a remote control car and the two of them wish to race with them. But the cockroaches have other plans. Oggy and Jack's ride in a remote-controlled hot-air balloon turns into a joyride after the cockroaches take over the remote. Oggy and Jack decide to cook duck soup but land themselves in a soup when the duck's friends turn up at their house and create a ruckus.
Jack's newly invented agent to destroy cockroaches badly misfires. The chemical formula has the ability to clone the subject it was used on. Dee Dee gets empowered by superhuman strength one stormy night when repairing the TV antenna. He misuses the strength by using it on Oggy and even on the cockroaches. Jack is all set to assemble a cockroach trap. But the cockroaches are very noisy. Oggy tries to tone down the noise.
The cockroaches get an ally in three alien cockroaches from another planet who constantly shapeshift Oggy and have a nice laugh. Oggy gets involved in an accident when the cockroaches eat up his cake. He is squashed into a disk. Jack builds a time machine so that Oggy can go back in time and prevent the accident. But the problems are far from over. Jack and Oggy go fishing. Dee Dee has slyly followed the two and keeps eating the bait meant for the fish.
Oggy is afraid of travelling by air. Jack tries to help him by hypnotizing him. Oggy and Jack visit a restaurant to enjoy some good food. Sadly for them, the cockroaches come along and start stealing their orders. Oggy tries to unwind with his train set while the cockroaches use the opportunity to load their food into it.
Oggy and Dee Dee discover a penguin and its egg in the fridge freezer one morning. They try to steal the egg. Oggy and Joey accidentally land in Mars and discover a conspiracy that has been hatched by aliens who are disguised as garden gnomes. The two have to get on board the alien space ship and save the Earth from the invasion. The cockroaches are back to playing pranks with Oggy. They stick huge teeth in his mouth and Oggy is forced to call for help.
The cockroaches manage to inflate Oggy's stomach. Oggy thinks he is pregnant. Soon he realizes that only girls can have babies. The cockroaches manage to get their hands on Oggy's favorite doll. Oggy who at no cost will let go of his doll sets out to retrieve it. The cockroaches go too far with their pranks at Oggy's birthday party resulting in him developing suicidal tendencies.
A redneck cockroach visits the cockroaches. He has the unique ability to bring plants to life. Oggy is mighty pleased. Oggy's attempt to get rid of the cockroaches misfires badly. He and the cockroaches end up in the landfill. It's going to be an uphill task for Oggy to get out of there. Oggy finds it difficult to go after the cockroaches in his home because the staircases are pretty long. He invests in elevators. But the cockroaches ensure that chaos rules.
Whilst giving the cockroaches a hot chase, Jack ends up getting frozen in a block of ice. Oggy nurses him. The cockroaches try to hoodwink Oggy by exchanging Jack's medicine with a fake one. Oggy is ill at ease because it is Friday, the 13th. The cockroaches try to take advantage of the situation. Oggy makes some French fries but will the cockroaches let him enjoy the snack?
Oggy and Jack go to a ski resort to unwind. The cockroaches follow them and fool Oggy into taking a treacherous slope. A wicked, green monster visits Oggy's neighborhood. Joey meets him and gets his hands on a can of magic beans which when consumed make one grow bigger. Joey has quite a lot of these beans so that he can grow big enough to scare Oggy. Oggy sits down with a jigsaw puzzle. Joeys spoils the game by stealing the final piece.
Even as Jack plans a biplane flight, Oggy gets into the wrong plane piloted by the notorious cockroaches. Yet another cockroach has Oggy trapped under the house. Jack tells the cockroaches to save him. Oggy picks up a cicada in the hope of relaxing hearing her sound. He does not realize that the sound is giving Joey a headache.
Oggy visits the supermart to shop. The cockroaches as usual follow him. Thanks to them, Oggy drops a huge pile of detergent and gets thrown out. To complete his shopping, Oggy has to enter again in a disguise. Even as Oggy is watching a sitcom, the cockroaches play a wicked joke on him using a tape recording of a laugh track which ends up in Oggy's stomach. Dee Dee disrupts Oggy's cruise. Jack, Marky and Joey land up feeling seasick.
Oggy bumps into a lookalike cat. Jack decides to play a trick on the cockroaches giving them the impression that Oggy is everywhere. After getting hit on the head, Joey starts treating Oggy like a father. Marky and Dee Dee try to make him his old self. Oggy befriends an octopus not knowing that he is a thief.
Oggy enjoys a journey through the iconic locales of Hollywood till the cockroaches start bugging him and this leads to several Hollywood movie scene parodies. Oggy catches Dee Dee red-handed in the fridge and kills him. Little does he know that Dee Dee is pretending to be dead. The cockroaches inform crime branch of the 'murder'. When Oggy goes to China, the cockroaches follow him. Oggy sells them to a Chinese restaurant only to repent later.
Oggy and Jack embark on a trip to the Amazonian Rainforests. Here they bump into friendly insectivore natives. They accidentally make Jack unconscious and the cockroaches capitalize on the occasion. One day, Oggy discovers that the vegetables in his garden are all alive. Oggy has a whale of a time with a pair of magic shoes that he finds one day. The shoes dance on their own when spit shined. He also becomes famous. But when the cockroaches come to know of it, they spoil his party.