A lot of the anime-related communities have consolidated over time to the ani.social instance. There are historical reasons for this (largely due to hostility from the ml admins), and if you want a brief history for just the general anime community, I previously wrote a post here.
That being said, the ani.social instance has been growing with new communities being added. Here are the more active ones:
This is an excellent point that I thought about when a previous community I was active in got shut down on the ml instance due to some admin whims. Since then, for the two communities I run, I have an external wiki that I maintain with things like complete rules or an index of past weekly discussion threads, etc. These wikis are set up on a VPS that I am responsible for, independent of the host instance of my communities.
ani.social and the admin, @[email protected], has been excellent, and the instance is a logical place for anime/manga communities. I have also tried to keep up donations to keep the server running, but people’s lives change, not always by choice. Having some form of communication independent of the lemmy instance makes sense for those scenarios, if for nothing else except for communicating a migration to a different instance.
Filterable post flairs and instance-agnostic links are my two biggest wish list items that I think would go a long way to making that specific community much nicer (speaking as a mod).
The project relies on extensions that are installed separately to pull content from different services (mangadex, mangaplus, etc.). The other day, the tachiyomi devs removed almost all the extensions that they were hosting/maintaining after a threat of legal action from a Korean webtoon company. Here is a relevant discussion thread.
Here is a guide to a third party extensions repo that was linked in a discussion thread the other day.
I haven’t personally done this with my Tachiyomi yet, but have heard from others it has worked well.
Obligatory shoutout to [email protected] if you want a more anime-focused discussion. Of what I have watched (or seen enough of to make a judgement) there are a couple standouts. Note that I haven’t really watched much western animation in recent years.
Wildcard answer would be Star Wars Visions. Each episode is done by a different animation studio, so it can be up to personal preference as to which ones you like, but there are some great showcases in the show.
Edit: If you care a lot about animation quality, I would recommend checking out the SakugaBlog. It goes into deep dives on Japanese animation. For example, they did a whole running series on Frieren (link to the first article).