Good question Rich, I was wondering the same thing.
There are some records where it would be interesting to confirm their rarity, and some myths which need dispelling. I know there was a thread a while back showing that there were well over a dozen copies of the Eddie Parker on Awake, and I believe there are about a dozen of Billy Woods. While these are still pretty rare it would be good to narrow it to fewer than 10 say, or perhaps 5.
Of the established tunes, how about:
Inspirations - Breakthrough
Don Gardner - Sedgrick
Jimmy Burns - Erica
Various Shrines - Cavaliers, Prophets, Counts
Of the more unusual, maybe:
Nat T. Jones - Goliath
Walter Wilson - Wand
I assume also that we're talking about records with proper labels, not acetates/test presses?