I haven’t participated in any, and there’s definitely less of an existing infrastructure (and no obvious part of the forum to put them in, which I think is a drawback) compared to book clubs, but I think there’s a couple of threads like that around, like this one where at least a few people are watching Oishinbo:
That links to an 80s/90s anime thread in the campfire section that I think also has a thread going about a show right now… Escaflowne?
So those could be some examples to check out / potential types of places to ask around about interest in something you’d like to watch.
The new extensive listening thread might also be a good one to check out for general discussion!