I consider choosing massively multiplayer online role-playing games the definitive answer to the question.

Because video games are limited in scope, you will eventually run out of things to do in the game because you are on a desert island and have nothing better to do. Because massively multiplayer online role-playing games are virtually unlimited in scope, a deserted person could lead a productive virutal life in their perception, possibly making them a little more happier being stranded on that desert island.

I guess I would choose the following games:

  • Final Fantasy XI
  • Final Fantasy XI: Rise of the Zilart
  • Final Fantasy XI: Chains of Promathia
  • Final Fantasy XI: Treasures of Aht Urhgan
  • Final Fantasy XI: Wings of the Goddess