Solo content:
Main Quests, which includes cutscenes, overworld quests, story battles. I want to be able to play through them as Blue Mage, and access story dungeons either as blue mage through a preformed party or with whatever other job I have leveled.
Hunts
Most mini games in Gold Saucer
Learning spells in the overworld, which will doubtless take a long time because we won't have the same luck they showed in the trailer where they learned spells on the first hit.

Not solo content:
Dungeons (we can access them preformed or party finder)
Raids (the raid itself, not the story around it)
Trials
Deep Dungeon
Roulettes