The term "pursuit game animals" refers to animals that are hunted with the intention of catching them after a chase. Some possible synonyms for this term might include "quarry," "game species," or simply "game." Other possible options might include more specific names for certain types of animals, such as "hounds' game" for animals that are typically hunted with dogs, or "big game" for larger species such as deer, elk, or bear. Regardless of the terminology used, it is important to remember that hunting and other types of animal exploitation always carry ethical and environmental concerns that must be taken seriously.