Oggy, an anthropomorphic cat, would prefer to spend his days watching television and eating, but is continuously pestered by three roaches: Joey, Marky and Dee Dee. The cockroaches' slapstick mischief ranges from plundering Oggy's refrigerator to hijacking the train he just boarded. 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. Bob, a short-tempered bulldog, also appears in the show, and is Oggy's neighbor.

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