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.
Oggy usually finds creatures accompanying him to the end of the episode, such as crabs, clams, a horse, a very technologically advanced child, a puppy, and an octopus. However, it’s not always Oggy who wins.
The cartoon itself relies on slapstick humour, much like its “ancestor”, Tom and Jerry, only amplifying the level of extremities up a notch; while “traditional” slapstick cartoon characters prefer dropping anvils and pianos on each other, this show sometimes uses even buses or submarines. Despite these however, most gags are easily accessible and enjoyable for younger viewers. Since dialog is kept to a minimum the humour is entirely visual.
Oggy’s cousin Jack, green and smart cat, wants to find new plans to kill the Cockroches while their neighbour, Bob the big bulldog is fed up about any accidents (which he makes Oggy and/or Jack beaten).