Running between Tokyo and off-the-beaten-path prefectures like Kagawa, Shimane and Tottori, the overnight train Sunrise Express lets passengers fall asleep in the city and awake in the countryside. The Sunrise Express is also a living piece of history. Sleeper trains were once a common way to traverse Japan, but they dwindled with the rise of bullet trains and domestic flights. Luxury sleeper trains still operate on limited runs, but the Sunrise Express is the only regularly scheduled sleeper train left in the country—operating daily with affordable ticket prices. Train AccommodationsA Sunrise…