There is no reason NYC should be safer than any other American city.
Starting in 2005, New York City achieved the lowest crime rate among the ten largest cities in the United States. Since 1991, the city has seen a continuous fifteen-year trend of decreasing crime. Neighborhoods that were once considered dangerous are now much safer. Violent crime in the city has dropped by three quarters in the twelve years ending in 2005 with the murder rate at its lowest then level since 1963 with 539 murders that year, for a murder rate of 6.58 per 100,000 people, compared to 2,262 murders in 1990. The murder rate continued to drop each year since then. In 2012, there were 414 murders, mainly occurring in the outlying, low income areas of NYC.
NEW YORK — New York City Mayor-elect Bill de Blasio said Saturday he'd "cleared the air" with police Commissioner Raymond Kelly a day after Kelly said de Blasio and other Democrats were pandering by criticizing the controversial policing tactic known as stop and frisk.
http://www.nytimes.com/aponline/2013/11/16/nyregion/ap-us-nyc-mayor.html?ref=aponline