The Immortal Ship would be several (a network of) ships able to self replicate and self repair. They would protect intelligence (me or you) and able to travel while billions of years. The intelligence would sleep and travel. The immortal ship would have a strong defense technology. The person aboard could wake up to check everything around. The person would experience an environment designed to entertain. The environment would have: Thousands of years of TV programs and movies stories, Billions of web pages and books online, videos, friendly AIs, Millions of MP3, etc....