If you're in to that sort of thing, you probably already know of a game called Exquisite Corpse,[1] and maybe a group called Oulipo.[2] If not, check them out.

They both predate the Internet and personal computers, but are still very interesting, creative, and inspiring.

[1] - https://en.wikipedia.org/wiki/Exquisite_corpse

[2] - https://en.wikipedia.org/wiki/Oulipo