Kemono Michi: Rise Up (aka Hataage! Kemono Michi) is new anime series being distributed by Funimation. In fact, it's one of two new anime series that might interest people in furry fandom, the other one being Beastars which will be airing on Netflix very soon!
Based on the manga by Natsume Akatsuki, Kemono Michi definitely doesn't take itself seriously. Shibata Genzo is a pro wrestler who's having the biggest match of his career against his opponent, Macadamian Ogre. Suddenly, mid-fight, Genzo is magically transported to another world, where a princess has ritually summoned him to be the hero to save her kingdom from demon beasts and their demon king.
Thing is, Genzo is a friend to animals, so he's not going to do it. He suplexes the princess, leaves his cloak behind, and escapes the castle (along with his little pet dog).