Despite these, most gags are easily accessible and enjoyable for younger viewers. While traditional slapstick cartoon characters prefer dropping anvils and pianos on each other, this show sometimes even uses buses or submarines. The cartoon itself relies on slapstick humor, which (similar to Ren and Stimpy) the series wanted to revive the style of the classic golden age of animation, only amplifying the level of extremities up a notch.

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 even an octopus. 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. The show centers on Oggy, a content and cute, calm very tender adorable blue cat, who would usually spend his days watching TV or doing something and loves doing chores and his job that he works at is house home work and chores - if it wasn't for the three roaches in the household: Joey, Dee Dee and Marky (named after members of the punk group, the Ramones).