At this point, there are no known nuclear powered jet engines.
Anyone, of course, with better information, is welcome to refine this answer.
Both prototype nuclear powered jet engines ever built are stored in the EBR-1 site parking lot in Idaho and can be seen by anyone when they tour the EBR-1 reactor historical monument and museum.
Most records about Nuclear Powered aircraft are classified, just like the Nuclear Submarines. The United States has only published one record of a Nuclear Powered aircraft. The program was cancelled in 1958, due to complications.
He built steam engines.
The USS Nautilus was built in Groton, Connecticut.
The USS Savannah was built as a civil ship, as a demonstration. I don't think it carried passengers though. Russia has some nuclear powered ice breakers.
Yes, thorium was used as a fertile material in nuclear reactors.
This is a new one to me, you can read up something in site: http://www.aviation-history.com/articles/nuke-american.htm. However it does not give what you have asked. I doubt if more than one test bed reactor engine was built. You could try the author of this article Paul Colon, rcolonfrias@yahoo.com, if this address is still valid The URL you give contains the correct answer. Yes, you are right they were only static test bed engines and could not have flown as built. But they were operating Nuclear powered Jet Engines with compressors and turbines (adapted from an off the shelf production GE Jet Engine). They completed testing in 1963 before the Atmospheric Test Ban Treaty shut down the program. If the program had continued they were ready to begin design of flyable engines.
Soviet Union
The Air Force did a little bit of stuff with nuclear-powered aircraft in the 1950s. They built a couple of nuclear-powered J58 turbojets and ran them to nearly-full throttle, but never installed them in aircraft. They also mounted a reactor in a B-36 bomber, but never connected it to the engines. As far as I can tell they didn't put any fuel in the reactor - they just put the reactor vessel in the plane and went flying. In the end, the amount of shielding it would have taken to keep the crew from dying in mid-flight was impossible to put in a flyable aircraft.In the early to mid 1960s they also talked about building nuclear-powered civil airliners. Back then EVERYTHING was going to be nuclear-powered - cars, trucks, ships, houses...The Navy had a lot more luck with nuclear reactors. A ship can accommodate the shielding, so several classes of ship have had nuclear power. All our current carriers and subs are nuclear. The Navy also built nine nuclear-powered cruisers to accompany carriers, all of which were decommissioned at the end of the Cold War. There were some nuclear civil ships too - the US, Japan, Germany and the Soviet Union all built nuclear cargo ships, and the Russians built nine nuclear icebreakers. Of all these ships, three cargo ships have been decommissioned, the German-owned one has been converted to diesel power, and six of the nine icebreakers are still in service.
Various small steam engines are built and marketed throughout the USA and the world today. This includes engines producing several horsepower, typical for steamboats, etc. The last large US manufacturer of steam engines, Skinner Engine Company, went out of business about 1980, and the last large engine that they built powered a generator in a large central station power plant. This generator powered the exciter for the main turbine driven generator, and is in the vicinity of 1,000 - 2000 Horsepower.
Karl Benz and Gottlieb Daimler both independently built automobiles powered by internal combustion engines in 1885.
They were simply powered by the soldiers who built it.
Steam-powered factories could be built in cities.