Basenji is known to be the top dog breed that doesn’t bark, but expresses themselves between a yodel and a chortle. Other dog breeds are Pug, Chinese Shar Pei, Japanese Chin, Greyhound, Great Dane, Newfoundland, Cavalier King Charles Spaniel, English Bulldog and the Rhodesian Ridgeback. These dogs aren’t aggressive and seem most unlikely to bite their owners.