"The skins still outstanding include those of the following species: Haematoderus militaris, Pyroderus scutatus, Cotinga amabilis, C. cotinga, C. maculata, C. cayana, Pharamachrus mocinno, P. antisianus, P. auriceps, Sericulus aureus, Ptiloris magnificus, Lophorina superba and Cicinnurus regius."
This list came to me in a note from Dr. Alex Bond, the chief curator of the bird section at the Museum in Tring.
My take away from this list is that traditional tiers will likely only encounter provenance issues with the Fruit crows and "Chatterers". Maybe the Magnificient Riflebird as well. The Crimson fruit crow is not called for in traditional flies. The quetzals can be avoided by using a substitute, such as dyed emu. The Flame Bowerbird isn't called for (that I can recall. Seems Kelson mentioned it, however) the Superb Bird of Paradise is not called for. Nor is the King Bird of Paradise.
One way to be sure of avoiding the stolen feathers is to purchase those feathers that you can observe being taken from an obvious taxidermy mount. After that, I am at a loss. Individual feathers just don't come with identifiers. If you buy, you have to trust your seller to know where they came from.
For my own peace of mind I know that I purchased my loose cotinga and fruit crow feathers long before the Tring theft. With one exception when I purchased a group of feathers from a retiring tier that I know also purchased them long before the theft. (He had quit tying before the theft).
I am so sorry this is hanging over my beloved hobby. I may hope that those who harbor the remaining skins will come to their senses, realize the harm they are doing to us all and return the remaining birds to the Museum.