Bodie Island Lighthouse is the first one going south from Nags Head. It isn't open to the public, but there is a visitor center and the tower does photograph nicely. This is an excellent place for bird-watching and hiking.
If you go:
Bodie is mainly a picture stop on the way to Cape Hatteras, but is close enough to see on a trip north to Kitty Hawk.
Links:

Bodie Island Lighthouse Road
Nags Head, North Carolina 27959 USA
Phone Numbers:
Bodie Island Visitor Center
+1 (252) 441-5711
+1 (252) 441-5711