Hashirama - She simply doesn't win this one; Hashi wins, no- to possibly neg-diff.
EMS Madara - Konan potentially could win this, mid-diff, honestly (EMS Madara means EMS Madara; no Kurama, since he apparently doesn't have prep).
Nagato - Konan knows a lot about Nagato's abilities, but Nagato is simply too versatile; Nagato wins this, no-diff.
Minato - Minato is too fast for Konan. Minato wins this, med- to no-diff.
Itachi - If Itachi falls for her trap, he potentially pulls out Susanoo and wins this; Itachi wins, high-diff.
Killer Bee - Konan wins this, med-diff.
Muu - Konan loses this one. Muu can fly and become invisible; he's like a portable Izanagi. Muu wins, med-diff.
2nd Mizukage - Konan could win this, high-diff; 2nd Mizukage could potentially win this, med-diff, due to his Water Style-based techniques (water and paper are like laxatives and sleeping pills - they don't mix well).
MS Sasuke - Konan without prep could win this, med-diff, in my opinion.
SM Naruto - Konan with prep wins this, med-diff.
Tsunade - Konan with prep wins this, med-diff.