In his introduction to the Batman Year Two trade paperback, writer Mike W. Barr said something to the effect of "There is no 'definitive' version of a character that's been around for decades." Mike was always kind of cranky, but he had a point there. Batman is one of those "forever" characters that's had a lot of different interpretations over the years. Is there one true definitive version of Batman? It all depends on the particular point of view of whoever you're asking. For some people, their definitive version of the Batman will be from the comics. Maybe that will be the Batman in the gruesome Golden Age stories by Bob Kane, Bill Finger, Dick Sprang and Jerry Robinson. For others, it's weird sci-fi stories of the 1950's. And then there are the silly TV show inspired stories in the Silver Age. And then there's the Bronze Age Batman done by Denny O'Neil, Neil Adams, Steve Englehart and Marshall Rogers. In the 1980's, Frank Miller's Dark Knight Returns is considered a masterpiece. In other media, you've got the Batman newspapers strips, the movie serials, the 1960's TV show, the prose novels, the Animated Series, the video games and the movies by Tim Burton, Joel Schumacher, Christoper Nolan, Zack Snyder and Matt Reeves.
For me, my own personal definitive Batman is from the Bronze Age:
I was just the right age. If I were born 20 years later it would probably be the Bruce Timm cartoons.
I think the Dracula analogy is a good one. That's perfectly legit. The Shadow is another good comparison.
I'm still waiting for what I would consider a "definitive" movie version. I loved the Christopher Nolan films, don't get me wrong. I've watched them so many times my girlfriend is starting to wonder if I'm going to wear out the blu rays. The Dark Knight may be one of the greatest superhero movies ever made. There is one problem I have with the trilogy, however. Nolan's take on the character is so grounded in reality that he just wouldn't fit in with a world of power rings, magic lassos, super powered aliens and people who live in the ocean. My Batman lives in a very specific universe where all that and more is possible. That's why I'm still waiting for a definitive movie Batman.
Anyway, sorry to ramble. Carry on.