Repeatable non-instanced Duties

Some of the non instanced duties in FFXIV are a lot of fun, and provide some pretty terrific spectacle. It's a shame, then, that these are only playable once, and then forever lost.

Is there any way to allow players to re-experience these battles, perhaps by adding them to a new Duty Finder section? They could and should be both level and item-level synced, and in the case of job duties, abilities you didn't have at the time of the fight could be locked.

Or, perhaps this could even be incorporated into a higher level version of the "Novice Hall." As long as the awesome level 60 duties could be replayed, I wouldn't mind!

Non-instanced means in the open-world where everyone can participate or at least see you.
But I have the feeling you mean instances not existing in the Duty Finder, such as the Job quest instances where you talk a NPC and get teleported to into an instance to do the job quest.

If that's what you mean, yes I agree it could be fun if they could be replayed (without any reward).