This is unofficial... if you know differently, just add.
Finding out in another thread that there is a non-stop to NY, I was curious to know where all the KW direct cites are.
So starting with the official Airport site's list of carriers
I went to each airline's site and came up with this (looking at their route maps)
Southwest (Note: Service ends June 2014)
- New York
- Ft Myers
- Ft Lauderdale
United - Could not locate any. Maybe they list because of Star Alliance?
Cape - Could not locate any on route map