The Batman of the 1960s bloodlessly BIFF'd Joker's henchman. What's a BIFF? It's when Batman punches someone and the word "BIFF" pops up on the screen, alongside BAM and KAPOW.
Tim Burton's Batman is a much darker vision, and many people die, although most off screen. Women are killed by poisoned cosmetics, a man falls into a vat of acid, a warehouse blows up with dozens of people inside, and someone falls to his death off a giant building, and Jack Nicholson makes fart noises.