I think 1965 doors might be one year only.
The contours and trim are the same for 1966 New Yorkers, but the lock hole may be different and the area where the inside door handle bolts on may be different.
Before you leave, I would snap some photos of your door so you can compare, just in case you find a nice '66 NY'er door.
As Mr C said, Newport and 300 doors will bolt on, but the trim is different. That shouldn't be too big a deal on a '65. '65 Newport has no lower trim. '65 300L uses the same trim holes as the New Yorker. '65 300 sport is the only one that you might have to weld up some extra trim holes.
I put a '66 Newport door on my '66 New Yorker years ago, and I had to fill a bunch of holes because the Newport trim sat higher on the door.
There's a '66 New Yorker in Oak Hill Used Auto Parts in Petersburg, VA. That's the only '65-'66 coupe that comes up on Car-Parts.com anywhere near NC. It's got a good amount of rust on it, so I wouldn't be surprised if the corners of the doors are rusted behind the trim.
Jeff
