When I think about "companies," I think of missions and quests. The Grand Companies are always giving us quests, so how about our free companies give them too?

We could be given a certain amount of FC quest allowances each day or week, where in a FC member with the proper authority can issue a task. As an example, a task could be to turn in 50 of a certain item from gathering or fishing. Or maybe to craft certain items, or to kill an amount of a certain monster (get people to farm Apkallus for eggs!). I'm sure other ideas can be come up with. The quest could probably be issued from an NPC that can be placed in your FC house, and turned in there as well (or maybe housing shouldn't be required?). Quest rewards would be pre-determined by SE and would probably be based on the type of quest - gathering equipment for gathering items, crafting gear for making items, etc. They should probably always reward gil.

I got the idea when I mentioned that we needed materials for high level food. A lower level player who had only been in the FC for a few days offered to collect the ingredients, and after doing so I gave him some HQ crafting gear (he wanted it for Culinarian).

As another example, let's say a FC member needs to kill Chimera. A high ranked FC leader could issue a FC quest to kill Chimera, and that way whomever helps with the fight will receive bonuses for helping out.

I don't think the rewards should be huge or anything, I just think that this would be a neat little extra thing to have and a cool way to promote people to acquire items and help with content that the FC needs.