Oh i thought you were gonna ask for other fun activities... Well the new app for iOS, soon made for Android too, is being released. It's something about checking out items and other characters so if you're a Final Fantasy XIV maniac go for that all day?

Otherwise i was going to suggest playing Tales of Xillia. Asides from being alot of fun to switch between a local multiplayer-singleplayer game, ToX, and a MMORPG, FFXIVARR, it also gives you a broader perspective gameplay wise on how to play and even how to grind effectively.. At least i experience Final Fantasy XIV differently when playing ToX at the same time. (Ps3 ftw!)