-Lords of Verminion aka minion autochess
-Raising, breeding and racing chobobos
-Collecting triple triad cards and beating all the players around the world
-Majhong at the golden saucer
-Deep dungeon for pets, gear and mounts
-Diadem/Eureka for the same
-Gardening where you raise plants and cross breed them and stuff
-Monster Hunts
-Fates and world bosses which in ShB includes a new 'shared fate' system for stuff like chocobo armours and easy crafting mats
-Treasure maps and treasure dungeons
-Crafting and gathering with all their questlines
-Deliveries
-Khloes book
-PVP
-Housing including stuff like airship expeditions in free companies
-levelling a squadron of npcs with your grand company
-Relics
-Chasing achievements for mounts, gear and things like special glowing tools and the like
-Challenge logs
Off the top of my head.