A good hotel, or a good hotel that is affordable?
There are loads of smaller, less-well known hotels there (New York is a big place). The smaller ones would be a better idea because the big well-known ones are going to charge you for the name and then some. I don't imagine that there is anywhere you could stay in Manhattan for under a couple hundred a night.
I've never been there myself, so can't make any recommendations, though if you share what budget you have you might get some nice recommendations.