Here are all of them (except for counties that I don't have data for).
I put my guesses at why they voted so.
MONROE COUNTY:
Rochester - urban, U. of Roch., and 40% black
TOMPKINS COUNTY:
Ithaca City (Obama's best municipality in New York - 67.5% of the vote) a university town: Cornell and Ithaca
(rest are in commuting distance)
Ithaca Town
Lansing
Dryden
Ulysses
Newfield
Danby
Caroline
SCHUYLER COUNTY:
Cayuta - also commuting distance of Ithaca
ERIE COUNTY:
Buffalo - urban and 37% black
LIVINGSTON COUNTY:
Geneseo - SUNY Geneseo
ALLEGANY COUNTY: (don't know about these)
Almond
Alfred
Allen
Centerville
CATTARAUGUS COUNTY: (don't know)
New Albion
MADISON COUNTY:
Hamilton - Colgate U
ESSEX COUNTY: (don't know)
Keene
Essex
Westport
WASHINGTON COUNTY: (don't know)
Dresden
Hampton
WARREN COUNTY: (don't know)
Stony Creek (tie)
SCHOHARIE COUNTY:
Blenheim - tiny
OTSEGO COUNTY: (don't know)
Otsego
Westford
Springfield
RENSSELAER COUNTY: (don't know)
Petersburgh (tie)
GREENE COUNTY:
Lexington - tiny
ORANGE COUNTY:
Newburgh City - urban, 33% black
ULSTER COUNTY: - music and art, especially Woodstock
Rosendale
Rochester
New Paltz
Shandaken
Olive
Marbletown
Hardenburgh
Woodstock
COLUMBIA COUNTY: (not sure, though this general area has several Obama towns)
Austerlitz
Hillsdale
Chatham
Gallatin
Taghkanic
Germantown
DUTCHESS COUNTY:
Clinton
Stanford
Washington
Millerton - music scene
Milan
Pine Plains
Red Hook - Bard College
Rhinebeck
Beacon
Poughkeepsie City - urban, Vassar Coll.
PUTNAM COUNTY: (don't know)
Phillipstown
WESTCHESTER COUNTY:
Pelham
Mount Vernon - urban, majority black
North Salem
Pound Ridge
Bedford
Peekskill
Rye City
Yes. Thank you.