I'll give you the crime, though, that all depends on where you are, and what you were doing..
For example, If you are out for a night on the town, and there will be drinking, then at least have enough common sense to:
A. Have a designated driver.
B. Have cabfare, so that you can take your drunk ass home.
C. Make sure that the ladies get home safely.. (as it is, it seems that drunken women are easier targets for rapists, then drunken men.)
And quite simply, stay away from areas known to have gang activity.. or a high level of crime activity.. simple as that.
But most importantly, use common sense.. though these rules are not specific to NYC alone, as they are simply common sense.
And unless you expect to go to the Ritz-Carlton, or the Rainbow Room, or the Russian Tea Room, you won't need much money to have a good time here.
In fact, there is a show called 9.99, here on NYC TV that talks about places you can go and have a good time at and you won't spend much money..
here is a link to an episode..
http://video.google.com/videoplay?docid=48...033275&q=NYC+TV