Blaze, ice white, and ice blue are the rarest from what I can tell. I think those only come from the peerless bosses. Actually, I think any of the BoD reward cloth colors may have a chance to drop as loot on the peerless. I have teal, bubblegum pink, and blaze which are listed as "rare" but they don't seem all that rare. I only saw a couple of ice white/blue on display in people's houses on Siege and those were people who did lots of spawns.
I wish we could change our parrot's perch. It is annoying to change your deco scheme and want to have a different colored perch but be stuck with what was first chosen for the parrot.
-Skylark