I stayed here recently:
Courtyard New York Manhattan/Central Park: New York Business Hotels
It's located on the corner of 54th & Broadway, which I thought was a less-busy location about 5-ish blocks from Central Park and about roughly 8-ish short blocks to Times Square and theater district. I thought the price was reasonable all things considered.
Edit: Oh, and it's all brand new. Just opened December 2013.