Lost in Blue: Shipwrecked, that's pretty funny. The "only one item" rule prohibits taking a Wii with you to play it on -- not to mention the whole lack of electricity thing.
Take a look at the latest screens in the gallery and make your choice. Is this really the game you'd want to have with you? You can shear sheep, watch your pets put on a show and even do some skipping. Not the most productive tasks when stranded, but it can't be all hunting and gathering.