Whenever he finds himself alone in his house, he will eventually begin to miss the cockroaches along with their pranks (as seen in the episode 'Priceless Roaches' and 'So Lonely'/'Alone at last') followed by nothing interesting happening in his life.
Despite the constant mayhem caused by the cockroaches, Oggy has developed a sort of love–hate relationship with them, having lived with them for a long time.
Oggy usually spends his time either watching TV or doing housework, when he's not chasing the cockroaches. Oggy is a cat with a light blue body, green eyes, red nose, grey tummy and white feet.Bob, a short-tempered bulldog, also appears in the show and is Oggy's neighbor. In many situations, Oggy is also helped by Jack, who is more violent and short-tempered than him and is also annoyed by the cockroaches. The cockroaches' slapstick mischief ranges from plundering Oggy's refrigerator to hijacking the train he just boarded. Oggy, an anthropomorphic cat, would prefer to spend his days watching television and eating but is continually pestered by three roaches: Joey, Marky and Dee Dee.
