Are you playing the free trial, or have you already purchased the game?
.... Purchased via Games with Gold. On version 1.02.151993.
Has restarting your console helped?
.... No.
Did you make sure all you server filtering options on the right side of the server browser are disabled?
.... Yes. And, no. My problem is that I favorited a server, but it will no longer appear in either list. I've tried showing favorites, I've tried hiding them. I've tried sorting by region. I've tried sorting by full / not full. I've tried it all. I've added other servers to the favorites list, and when I filter for favorites with them added, they still appear. The server number that I'm having trouble with, for reference, is 4419.
Has this issue started occurring only after you got kicked from a server, or is it seemingly random?
.... Seemingly random.
Have you got the latest update installed? (pushed approximately 4 hours after the Game Preview release)
.... As far as I know, yes. I've restarted the console and checked for updates. None appear available. Game version is listed above.
If you're not sure about number 5), have you restarted your console, checked for new DayZ updates and installed an update?
.... Yes, I have.