To see or dream that you are on an island signifies ease, relaxation and comfort. The dream is telling you that you need a vacation and escape the stresses in your life. It is time for some solitude.
To dream that you are stranded on an island suggests that you need to get away from the demands of your daily life. Or perhaps you are running away from a situation instead of trying to confront it. Alternatively, the dream means that you feel cut off from society. You are in a rut and do not know what to do with your life.