Thought I'd post this since I'm always seeing people asking questions about it. While I only managed to get up to the Bowl of Embers instance before people started giving up for this Beta test, these are the quests that open up some of the key game features that I was able to do myself.
Airship Pass:
Storyline Quest: Renewing the Covenant Lv.14
Retainers
Storyline Quest: The Scions of the Seventh Dawn Lv. 17
Materia Crafting and Melding
Storyline Quest: Life, Materia and Everything. Lv. 19
There are two regular quests you do to at the Bonfire after the CS. One teaches you how to Make Materia. The other quest Teaches you how to meld material, but requires a (level 19?) DoH Class to accept the quest.
Unlocking Armor Dyes
Came across this nice guide to unlocking dyes on the Beta forum, linking here
Eorzea Reborn Dye guide
Edited, Jun 30th 2013 12:48pm by Wyldkat
Edited, Jun 30th 2013 3:02pm by Wyldkat