From what everyone is posting and from the stuff ive been getting on mules and sending to main, it seems that anything that is sendable through account can come from special dial.
Some highlights from past couple of days:
Ifrit Ring
Iriri Samariri's Hat
Dark Lamp
Cheese Sandwich
Shard of Necropsyche
Siren's Hair
Saltwater Aquarium
Blaze Feather (Mimeo Stone reward)