Quest that should exist but doesn't

[Enkidoh]

To the OP: that sort of storytelling does not actually exist in FF games - FF titles which allow you to create your character will always cast the player character/characters as a blank slate, a generic template that is left for you to fill in the revelant information (the two FF MMOs this is definetely the case, but it also happened in the very first FF game and it's four nameless generic 'Light Warriors', and also the original version of FFIII on the Japanese Famicom with it's 'Onion Kids' - the DS remake changed them into actual named characters with backstories however).

This is not like say a Bioware game where a certain amount of your character's backstory/past and even part of the main character's name is given to you by default; here everything is up to the player to create and decide on - the only backstory you're given is that you're a foreigner who has come to Eorzea inspired by the tales of the original Warriors of Light saving the world at the Battle of Carteneau to take up work as a new adventurer of one of the Eorzean citystates.

And if you're a player who created their character back in 1.0 and transferred them into ARR you've returned to Eorzea to pick up from where you left off; those lucky enough to have satisfied the requirements in 1.0 actually are one of the original Warriors of Light sent 5 years into the future by Louisoix - starting in 1.0 your character was likewise a new adventurer from another land who had originally arrived in Eorzea as part of the throng of sellswords and mercenaries drawn to Eorzea for the citystates' aborted defense plans of the realm against the Empire in the wake of Ala Mhigo's fall and the expected Garlean invasion of the realm proper.).

Everything else is left up to the player to decide on. And to be fair, I prefer this kind of storytelling in a MMO - one of the reasons I play FFXIV (and why I also started in FFXI nearly 15 years ago), was because I got to create my own FF character, with everything left up to me to decide on.

Vidu above summed it up best: "My character is mine. I get to tell her story."