World Food Programme
Also known as "Serious Games" (usually games played to learn things, or improve the world), these are the games that in some way help society. They could be paid for by a philanthropist, state or government grants, a charity, or by a nonprofit. Onebiggame is an example. To be clear, there's no money to be made from the game itself as it's commonly given away. So if you do make a sponsored game, be sure to include your profit in the development or distribution bid.