Honestly, the fact that the Joker isn't dead is the most unrealistic aspect of the Batman mythos. Hell, I can buy the Joker dying and being resurrected by Dionysium or something a 100 times over. But I just find it hard to believe that NO ONE has made a serious attempt at killing him and succeeded! Not the hundreds of cops who've seen their colleagues and families massacred by him and would have had ample opportunities to fake a 'justified' shooting. Not the no doubt thousands of members of the public, many of whom may well be gun-owners, who don't just shoot the guy as soon as he shows up somewhere. Not a security guard at Arkham, who could either be bribed to do it, or just do it out of a sense of moral outrage or justice.