There's also The Rising and Make it Rain.

The Rising is a commemoration of the Calamity. On a meta note it pairs up with Moonfire Faire to encompass Obon's dual aspects of summer festival and commemorating the dead. On a Super Hyper Meta Note it's celebration of FF14's successful relaunch and a time for the Devs to break the fourth wall with a vengeance.

Make It Rain's exceedingly complex backstory is "we noticed there was a big gap between the Spring Events and Moonfire Faire so we decided we needed an early-summer event".