Switzerland is a beautiful country. The ease of getting from city to city is possible due to wonderful transportation system: the train. You will want to see every city and experience every area of Switzerland--from the German aspect to the French to the Italian influences in the south. No matter where you are in Switzerland though, you will be amazed by its beauty.
RECOMMENDED: Interlaken-- You must go to Interlaken and experience the wonder of the cable car. Once at the top of the mountain, you look down and literally see the CLOUDS. You feel like you are above the world--it is truly incredible.
The 13 cities my friends and I visited on our trip were: Zurich, Appenzell, Locarno, Zermatt, Brig, Bern, Basel, Luzern, Interlaken, Lugano, Bellinzona, and I actually forget the last one because we zoomed by a few cities a little too quickly!