Oggy is having a sick day recently - and the cockroaches are out to take advantage of his current situation all the while Jack is trying to cure Oggy of his illness.
Oggy's sister, Monica comes over for a visit, whereas Jack is in love and tries to be a thrill-seeker like her. However, love and kisses will not be for long, as the cockroaches try their best to ruin it.
Dee Dee wins a cow in a lottery, and in prize he brings the cow to Oggy's house. To make more milk, Dee Dee brings a bull to Oggy's place, but his plan then gets backfired.
Oggy arrives at the supermart, and the cockroaches have tagged along. Soon, their never-ending squabble results in Oggy knocking down a huge pile of detergent.
While walking home, Oggy finds a pair of magic shoes that can dance on their own whenever spit-shined. Oggy soon becomes famous with the toe tappers. All then goes well until the cockroaches ruin everything.
Oggy receives his 1 million EUR payment. Unfortunately Jack spends it all on a casino joint in Las Vegas and play bet/poker against a man. And of course, the cockroaches come along for the ride.
Right in the middle of this Christmas night, Santa Claus, while doing his routine gift delivery services, experiences - and gets disabled by - cockroach-related technical difficulties.
The big day has arrived when Oggy gets invited to the marriage of his cousin, Jack, and a French poodle, promising to be cockroach-free, but Dee Dee, Marky and Joey come along for the wedding too, uninvited, just to cause trouble.
One day, Oggy discovers that all of the vegetables in his house are alive. So naturally, the vegetables are saved. But when Oggy gets hungry, they decide to change Oggy into a predator.
Oggy and Jack are on a wild safari in the Amazon Rainforest. They run into friendly insectivore natives who accidentally make Jack unconscious in which the cockroaches take advantage of.
Oggy and Jack fall overboard on their cruise ship and fall on an island. While Oggy is enjoying himself, Jack is trying to leave. Meanwhile, the cockroaches get kidnapped by a roach eater and his pet.
After being run over by a car, Oggy discovers that he has superpowers, and Jack becomes his sidekick in order to protect the world from evil. However, both cats always get into trouble, especially Jack.
Because of the magical powers of a witch's spyglass, the roles of the household inhabitants are reversed: the cockroaches are now as big as Oggy while the cats become as small as the cockroaches.
Oggy is in China and the cockroaches are there causing mischief. With that, Oggy sells them to a Chinese merchant but then starts to think that he made the wrong decision.
While doing laundry, Oggy discovers of a chicken that can lay eggs, but not just any normal egg, but only golden ones. When Joey learns of this, he tries to get one of her eggs too for profits.
After catching him in the fridge, Oggy "kills" Dee Dee, not realizing that Dee Dee is just playing dead. As a result, Joey and Marky call a crime inspector to make this even worse for Oggy so that the police will arrest him.
Oggy and Jack are on a heavenly beach to go surfing. Jack is a surf pro but Oggy gets swept away by the waves and runs aground on the beach. Jack comes to help, the cats start surfing together this time, but the cockroaches show up.
Oggy has found a new job: he is now a ware houseman at the Barque France. His job consists in unloading a truck full of bills by using a hand truck. He first has to figure out how to use the hand truck, which is not an easy task.
Jack opens up a pizza delivering business and Oggy is the pizza delivery boy. Jack commands him to deliver it to Bob. But Oggy's job becomes difficult once the cockroaches steal Oggy's pizza for Bob.
Oggy's grandmother returns, which means bad news to the cockroaches. Considering, Oggy's grandmother drinks a power coffee, making her super strong against them. Oggy doesn't notice this, though.
Jack invites Oggy to see him participate as a racer in the big racing tournament being hosted at the circuit arena. But when the cockroaches come with the cats to get their race on.