I realized a while ago that in my whole career I've never worked for a for-profit corporation.

Recently I've been wondering if non-profit corporations could succeed in areas typically dominated by for-profit corporations. I'm in the U.S.

There are certainly plenty of non-profits functioning, employing people, and providing services to the public. Schools, Hospitals, public radio & TV, etc. But what areas are there where non-profits could exist and survive where they don't currently?