Traditionally, rhinos were sometimes used as the Unpleasant Animal Counterpart to the Honorable Elephant and Huggy, Huggy Hippos, though the latter's capacity to be aggressive and dangerous has become more emphasized in later media. If the character is a bad guy, expect running. If the character is a good guy, expect a lot of trampled Mooks. When a character is based on a rhinoceros, expect a tough brute capable of a lot of violence.
If it's a comedy, expect to see someone sent flying. If they're depicted in fiction, they're likely to be a dangerous obstacle. If they are in a group, they are likely to go on an Animal Stampede. If they appear in a game, expect a Smash Mook or maybe a Bullfight Boss. They are one of the truly tank-like species of animal in the world. They're not very smart, but they always use their heads. When portrayed in the media, rhinos are always hulkingly big, heavy, and intimidating herbivores that are known to have bad eyesight, short tempers, and a tendency to run down and trample (or gore to death) things that piss them off. Magic: The Gathering card 'Crash of Rhinos'