Batwoman? Wow, we haven't seen a Batwoman since the early 60s. And yay for a happier DCU. I'm really getting into DC these days. Infinite Crisis is damn fun and JSA Classified is easily the best comic I've read since I came back to the funny books. Meanwhile, Marvel's damn House of M is just starting to put me off that company. So now I'm really excited to see the future of DC Comics.
Yes we have. There was an animated movie set in the regular timeline of the Batman Adventures called "Mystery of the Batwoman" It was actually quite good.