Any game in which anthropormorphic animals play a large role. Anthropormorphic or humanoid animals can stand upright, wear clothing, and are almost always capable of a spoken language.
People with a strong intrest in anthropormorphic animals are called 'furries'.
Anthropomorphism or personification is any attribution of human characteristics (or characteristics assumed to belong only to humans) to other animals, non-living things, phenomena, material states, objects or abstract concepts such as organizations, governments, spirits or deities. Examples include animals and plants and forces of nature such as winds, rain, or the sun depicted as creatures with human motivations, and/or the abilities to reason and converse.
Source: Wikipedia, "http://en.wikipedia.org/wiki/Anthropormorphic," available under the CC-BY-SA License.