While looking for an apartment the past couple of months I discovered the handy color-coded
NYC crime map. It had some surprises on it - the 84th precinct, which includes Brooklyn Heights is one of the more crime-ridden areas, of New York, while the Upper West Side all the way to Inwood is the greatest stretch of low-crime area in Manhattan. All of lower Manhattan is pretty bad, including the financial district, and they aren't even including white-collar crime there.