The construction of the tunnel linking Russia's Far Eastern Chukotka and the west coast of Alaska in the U.S. will start in the nearest future....The future tunnel is expected to go under the Bering Strait. Some newspapers link the project with Chukotka’s governor Roman Abramovich. It is estimated that a tunnel will cost 60 billion dollars. The 63-mile tunnel will be twice as large as the famous tunnel under La Manche that links Great Britain to France.
http://english.pravda.ru/russia/economics/08-04-2008/104821-alaska_tunnel-0Think it's gonna be a good few years before it happens, but imagine taking the train from London to New York...