The show centers on Oggy,
a content and lazy, albeit very tender fat blue cat, who would usually
spend his days watching TV or doing something - if it wasn't for the
three 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.

Source : Wikipedia