From my experience, most of the servers have RP. Some you have to look for, others you can walk into the adventurer's guild. (beware! XD)
Remember, world visit is a thing, so even if you can't find any on your server, you can always visit Balmung and Mateus to join their RP as well.


In my experience, there is always something going on. I just wish people would utilize Lodestone more to promote their events so I can search for them better.