All the items the quests reward (gear, materia, dyes, food) can be got again easily from the market board or a merchant, except...

Armor Identification Key (you have this)
Vesper Bay Aetheryte Ticket (doesn't matter)
Fantasia (can get this from the mog station)
Mended Imperial Pot Helm, Mended Imperial Short Robe (calamity salvager)

The lodestone says you got all of the achievements up to the last patch of ARR so the others probably just don't give a title.