This is another of the better-known female alternates. Just as Superman has Supergirl, Batman has Batwoman. It should be noted that Batwoman and Batgirl are not the same character; they're different interpretations of the same basic role. Batwoman is a groundbreaking character; her human alter-ego is Kate Kane, and she was kicked out of the military on the grounds of being gay. As she had the mindset to protect and serve, she became a vigilante in Gotham, apparently thinking that vacancy wasn't already filled.
Batwoman's costume introduces red to the Bat-person palette and does it in style. The red accents on her outfit match perfectly with her hair, which is actually a wig attached to the outfit. It's impossible to say whether she looks better than Batman, as there have been too many Batman outfits, but we'll take this over the blue and gray look from the 1960s.