Trier Germany and a side trip to Luxembourg American Military Cemetery

(I've not done it by public transport)

there's also the Patton statue just past the station in Diekirch, which is a town easily reached from Luxembourg city by train and which has an excellent, super excellent Battle of the Bulge (Battle of the Ardennes) museum.

I visited the cemetery last year, from Luxembourg City, by bus. It's in the suburb of Hamm, an easy bus ride from the Luxembourg Gare. These directions are spot on:

http://www.tripadvisor.com/Travel-g190356-d630885/Luxembourg-City:Luxembourg:Luxembourg.American.Cemetery.Memorial.html

Once you get off the #15 bus (make sure you get on the one going to Hamm, it goes in two directions from Luxembourg Gare), it's an easy 10-15 minute walk - a little convoluted but follow the signs from the bus stop to the cemetery and it's almost impossible to get lost.

I too visited Diekirch - nice little town though probably nothing amazing for the average tourist. The museum there is small and feels very dated but definitely worth a visit if you are a World War II buff. It doesn't tell the story of the Battle of the Bulge in a coherent way, so you might want to re-read the basic facts of the battle before visiting the museum. You might be able to string in a stop in Diekirch by bus/train between Luxembourg City and Trier one way if you are interested in doing that. There's a direct train between Diekirch and Luxembourg City. FYI, you can buy an all-day transit pass for all buses and trains in Luxembourg (the whole little country) for only 4 euros. Not sure if it would cover the bus from Trier, though, maybe not.

Thank you Andrew and Nigel. You have helped make my decision to go see the cemetery. The directions do not look difficult. One more thing complete on my planning.
Judy