While getting to Luxembourg is not exactly hard, it's not as much of a snap as getting to most other parts of the Benelux lands. Luxembourg City is such a tiny capital it doesn't justify much in the way of intercontinental air service, yet as an important financial hub and seat of some European Union institutions it does have decent service from many European capitals.
Luxembourg City is served by only one high-speed rail line, the TGV from Paris, but the distances involved are short enough that even the slower trains from neighboring Belgium and Germany don't take all that long to arrive.
Note: This information was accurate when it was published, but can change without notice. Please be sure to confirm all rates and details directly with the companies in question before planning your trip.