Tim Burton's Batman films have a surreal German expressionistic/Gothic/film noir look with dark, moody ominous shadows and strange looking buildings, as did the early Batman comics, but not surrealistic like Eraserhead with the Lady in the Radiator dream sequences and there is nothing supernatural in the Burton Batman films. Of course Batman killed people. That's not even disputable. The killings where not accidents. He blew up the circus strong man in the street with the bomb.
He shot the Joker's gang with rocket launcers.
He also killed many of Joker's gang when he blew up Axis Chemicals with the explosive from the Batmobile.
He dropped the man from the top of the Cathedral.
He also burned a man with the flames from the Batmobile's jet engine which might have killed him as well.
He is responsible for the Joker's death scene by attaching the gargoyle statue on top of the crumbling old Cathedral to Joker's leg. As Joker tries to climb the helicopter ladder the gargoyle statue comes off the Cathedral. Joker struggles to hold on to the helicopter ladder but looses his grip because of the weight of the statue and plummets. I'm certain that if Warners let Tim Burton continue making Batman movies Joker would have returned eventually. In an interview with E! in '01 Jack Nicholson said "Baby, I've promoted it endless times. I've got the title. I wrote the scene. I know how to bring him back to life. They're hung up on: I died in the first picture. Are they kidding?" And Tim Burton said in his commentary on the Batman DVD "The weird thing is with the Joker, not that he's Freddy Krueger or Jason from Friday the 13th, but there's always a way especially with a character like the Joker, you know, that it was all just some big joke."
He is also responsible for the Penguin's death scene by having his bats attack Penguin causing him to back up and crash inside the Arctic display down to the water and bleed profusely. As with the Joker, if Warners let Tim Burton continue making Batman movies Penguin might have returned eventually. The influence for Penguin's death scene was the classic monster movies and at the end of every classic Universal Frankenstein movie the monster had a death scene and then in the next film we learn how he somehow comes back. On the Batman Returns DVD commentary Tim Burton said "For me, I like the prolonged tragic death. And monsters deaths, in the history of monster movies the monsters death is one of the big points of the movie." And Danny Elfman said "My favorite Penguin scene is when he dies because that goes right back to day one with Frankenstein and all these classic monsters and there in the final moments your feeling sorry for this poor thing because he just is what he is. It goes right back to the '30s for me and I just loved it." Danny DeVito said "I always thought that we should take Oswald to Vegas. Big room, write some good material for him. Have him eat some raw fish. Bring people up from the audience. 'Bring 'em up! You!' It's a fun character."
Sam Hamm and Tim Burton stated that they were influenced by the original Batman comics. Bob Kane himself was even brought in as a film consultant.
Batman in the original comics by his creators Bill Finger and Bob Kane killed people.
The reason the killings stopped in the comics is because editor Whitney Ellsworth created a Editorial Advisory Board in 1941 to try to make Batman and the other superheroes and villains as wholesome and tame as possible to protect DC from the growing criticisms of comic books in the 1940s and 1950s by Sterling North, Fredric Wertham, Greshon Legman, and the U.S. Senate which lead to the 1954 Comics Code Authority forcing E.C., Gleason, Fox, Fiction House and Quality out of business. Links that talk about the Editorial Advisory Board:
http://www.geocities.com/Athens/8580/Hist2.html
http://www.english.ufl.edu/imagetext/archives/exhibit1/dc.shtml
These book excepts are from Comic Book Nation by Bradford W. Wright about the Editorial Advisory Board DC had:
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http://img526.imageshack.us/img526/3098/batman1249510538books.png
And the effect on Batman:
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http://img403.imageshack.us/img403/7711/batman1249510914books00.png
Bob Kane said in his autobiography Batman & Me, "The editors placed increasing limitations on what Bill and I could do. We had our first brush with censorship over Batman's use of a gun in Batman #1. In one story in this issue he had a machine gun mounted on his plane and used it. Bill wrote that story; not I. It was his idea. It was inspired by the Shadow pulps in which the hero used two blazing forty-fives. We didn't think anything was wrong with Batman carrying a gun because the Shadow used guns. Bill was called on the carpet by Whit Ellsworth. He said, 'Never let Batman carry a gun again.' The editors thought making Batman a 'murderer' would taint his character and mothers would object. The new editorial policy was to get away from Batman's vigilantism and to bring him over to the side of the law. The whole moral climate changed after the 1940-1941 period when Batman #1 appeared; you couldn't kill or shoot villains anymore. In fact, the story resulted in DC preparing it's own comics code which every artist and writer had to follow. It forbade any whippings, hangings, or sexual references. Even the word 'flick' was forbidden because the lettering (all in block capitals) might run together."
And Batman stopped killing in the movies because Warners wouldn't let Sam Hamm, Daniel Waters and Tim Burton make anymore Batman movies. They wanted to try to make Batman and the villains wholesome and tame to appeal to kids and conservative parents and sell merchandise, Batman Happy Meals and cups from McDonald's, and protect the franchise from the growing criticisms that Batman and Batman Returns are unsuitable for children.