I've gotten a bunch of rare mats doing maps. I have to have found 8 or 9 boxes of Exquisite Buttons (most I've sold). Seen 5 or 6 Bluebird (one of which likes to perch on my shoulder a lot). Grabbed a Lotus Leaf, Ahriman Tears, Morbol Saliva, Dress Material, Sailor Material (or whatever its called) and Cutting Oil from their maps too.

Its random. What sucks is maps like me more than Coil does...