Not aware of an anime-specific kbin server, but there are anime focused Lemmy instances like ani.social that are accessible through kbin.social and anime communities on both kbin.social and various Lemmy instances. I’ve been posting to anime_irl@kbin.social and animepics@reddthat.com recently and occasionally in a few other places.

@MentalEdge has a post with a list of communities that may be of interest as well: https://reddthat.com/post/123968