The link you provided says NYC is the 67th most dangerous by crime rate. That is for the city as a whole, not for any particular borough or neighborhood. It also doesn't take into account other non-crime related danger. It also lists over 20 million people living in cities with a lower crime rate, even though it doesn't include hundreds of other cities because it is a list of the top 100 cities by crime rate.

NYC needs more law & order

I have been beaten up bad by teenagers and cops did jack shit (across the river in jersey). A friend of mine got robbed at midnight on 5th avenue (it was busy), cops again did nothing. Gun shots in washington square park and a faculty member was robbed there. These are anecdotes from years ago, its much worse now. You've to be on guard every second when you're out (especially at night). This is not a healthy life, and no wonder people become rude, 0 trust society will do that. Traveling in subways are essentially playing Russian roulette with a few more empty chambers. You can't pay me enough to even visit that place again.