It would be cool if when you fight with a team, you could trade drops only among the members of that team in the room.
So if I get a school-only drop that someone else can use, I could give it to them and vice versa.
But, again, only among the members of that specific team.
Let me clarify that I'm thinking only of dungeon/boss fight drops. This would get too messy to try to include with every battle.
The idea came to me when I was trying to get my Light Brigade robe. I ran it I don't know how many times before I got the robe, but I kept getting all of the other schools and it would have been great to be able to trade to someone who needed it.