A corporation that enjoys all the rights of a corporation, but without a profit goal. Most charities, educational institutions, home owner associations and so forth, are non-profit corporations....
Actually, with nonprofits there is a way for say the founder to make sure they can't be voted out or that the board doesn't decide to go another direction. When the bylaws are written it is possible...
The manager of a nonprofit organization is typically called the Executive Director. Recently, they are being called CEOs, though. The two are interchangeable, unless someone is really picky....