Descend from Myrdal to the fjords of Flåm and see waterfalls and farmhouses clinging to steep slopes (011-47-57-63-14-00; flaamsbana.no). For a longer trek, take the Norwegian State Railway through glacier-filled Hardanger-vidda National Park (011-47-815-00-888).
Chug through 86 tunnels and over 37 bridges as you travel along the massive Copper Canyon (which is four times larger than the Grand Canyon). A good stopping point: the town of Divisadero, which has sweeping views of the canyon (011-52-614-439-7212; www.mexicoscoppercanyon.com/chepe.htm).
The Indian Pacific
This three-night journey covers the whole of Australia, from the Pacific to the Indian Ocean, passing the Blue Mountains and historic mining towns. Another option: The Ghan line features views of the Outback's rusty-hued landscapes and endless cattle ranches (011-61-8-8213-4592; railaustralia.com.au).
Traveling between Chicago and Emeryville, California, the Zephyr rolls across the Rockies and the Sierra Nevada, with views of the Mississippi River and Donner Lake. For a good midroute break, spend a night in the spa town of Glenwood Springs, Colorado (800-872-7245; amtrak.com).