The Great WallaBee says these items from Unique Items Set are in the unique pool..
Total Items: 21
Total Items #1-9: 0
Total Items #10-99: 3
Total Items #100-999: 6
Total Items #1000-1999: 6
Total Items #1000-9999: 9
Total Items #10000-19999: 9
Total Items #20000 & up: 12