When I think of strong male characters, I think of Marvel, but when I think of strong female characters I think DCU. I know this is subjective as much has been made of the X-Women, but personally speaking, I love the women of the DCU!
Catwoman fast became my favorite superheroine after Brubaker and Cooke started the new series in 2002.
I just love her attitude and confidence. She's no longer the sex kitten, dressed in slinky costumes showing off her insecurities, now she is the fun loving cat who doesn't play it up for no man!