Polytherianthrope (Polytherian): identity with more than one species of nonhuman animal. Poly is a prefix meaning "many".
This is the current terminology. Polytherian replaced the old term Polywere which had first been use in 1996. It is not known exactly when the term polytherian became standard use within the community. It most likely came into use in 2005/2006 when the term Therianthrope was replacing Were.
References
http://therian.wikia.com/wiki/Polytherian
https://groups.google.com/d/msg/alt.horror.werewolves/WDdboohjnkc/1CneYAUjNVwJ
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Therian Dictionary
Non-FictionCommon Terminology of the Therianthrope Community with history and links to References for each term.