Docs, dentists, nurses, even vets will all be useful in a post-applesauce situation.  Babies will continue to be born, accidents with sharp pointy things, you get the idea.
People who have zero skills to barter - any theoretical scientist.  Most social scientists, pshychologists, those with PHDs in fine arts.  
People I want to have around - Mechanical engineers, any engineer, welders, carpenters, plumbers, electricians, those with infantry training/military skills in general - paintballers need not apply - farmers, animal breeders/trainers.  People who can make stuff with their hands and hand tools.
I'm taking Blast's advice and opening Bartertown.