I did a search but couldn't find anything that covered this...but it was a quick search, so please excuse me if this is in another thread.
I went to NYPL site to request a non-resident card, and was advised that program has recently been discountinued.

I've pasted the email below as there are links to other NY based libraries that have similar programs.
My local library has ebooks, but their selection downright stinks
Again, sorry if this is a repeat!
__________________________________________________ ________
Sorry, NYPL no longer offers a non-resident library card.
The New York Public Library itself is open without restriction to anyone who visits (a full listing of NYPL locations can be found online here:
http://www.nypl.org/locations).
The Library also offers a number of Web sites that are open to anyone with a computer and a sense of curiosity. These include our Digital Galleries (
http://digitalgallery.nypl.org/ ), our Picture Collection Online (
http://digital.nypl.org/mmpco/ ), and a number of linksites compiled by librarians, including Best of the Web (
http://www.nypl.org/collections/nypl...ns/best-of-web ).
The Library also subscribes to a number of databases (
http://www.nypl.org/collections/arti...guage=&limit=1 ) that we make available to NYPL library card holders (
http://www.nypl.org/help/library-card ). This includes eBooks, e-video, and e-audiobooks (
http://ebooks.nypl.org ) to which NYPL subscribes and are provided by the company OverDrive.
Information on NYPL library cards can be found here:
http://www.nypl.org/help/library-card
To check out materials from NYPL, you'll need a Branch Libraries library card - "... A Branch Libraries' card is free to anyone who lives, works, pays property taxes, or attends school in New York State. ..." So again, sorry, but based on what you've written, you're not eligible for an NYPL library card. NYPL used to offer a non-resident library card for $100 per year, however this program was recently discontinued.
You might want to review the list of eBook participating libraries, provided by Overdrive (
http://www.overdrive.com) to find a library that has a non-resident library card. Here's a link to a list of Public Libraries Offering OverDrive Digital Books:
http://search.overdrive.com/
You can use the following Web sites to find the sites for the libraries listed by Overdrive:
http://lists.webjunction.org/libweb/
The Brooklyn Public Library offers a collection of emedia:
http://digitalbooks.brooklynpublicli...en/Default.htm
They also offer a non-resident card for $50 per year:
http://brooklynpubliclibrary.org/bor....jsp?card=true
The Queens Library also offers a non-resident card for a $50 annual fee:
http://www.queenslibrary.org/index.a...d+Registration
We hope this helps!