Well Nassau, Suffolk, Brooklyn, Queens, and Staten Island dont touch NY State. Plus if you head directly west off of Long Island you go into New Jersey and then PA. You have to go northwest off of LI, cross a bridge, then your in NY.
Every few years a rebellious group of LIers attempt to get LI to become the 51st state because NYS taxes us so heavily (Manhattan and surrounding area exchange alot of $$$). It never happens and quiets down after a few months.
We are the really hot red headed step child that NY likes to touch in the naughty places