Generic term is therianthropy:

therianthrope - wild beast (therion) + man (anthropos)

lycanthrope - wolf (lykos) + man (anthropos)

arctanthrope - bear (arktos) + man (anthropos)

tigranthrope - tiger (tigris) + man (anthropos)

kaprothrope - boar (kapros) + man (anthropos)

arouranthrope - rat (arouraios) + man (anthropos)

lamianthrope - shark (lamia) + man (anthropos)