In the DCU, Batman isn't the best fighter (last I recall) but rather the benchmark to which others are rated. Lady Shiva is the best fighter if I remember correctly (at least way up there and better than Batman).
I was wondering who's the best in the CU? Best villain one? Best hero one? I'm actually looking for the best villain one specifically, but would like to just get a run down of the best hand to hand fighters in CU.