"Competition with other BBSes" first made me think of something like 4chan's 4Chan Cup events.
I don't usually pay a lot of attention to it, but it's kind of neat to see what the different boards and threads see as their primary memes to present to outsiders.
And to see how much effort they're willing to put into giving them appropriate models.
And it's all RNG anyway, so you can't really complain about the results.

But as far as an actual multiplayer competitive thing, I've never really been into those.