Another somewhat interesting short train ride from Leipzig is to the town of Chemnitz. Some may think me crazy, but I enjoyed a visit to this little town. There is not a lot to do, but it is a good place to see a lot of the old East German influence being 'westernized', if that makes sense. The food at the Rathaus restaurant is quite good, and there is a beautiful town square and shopping platz just a short walk from the train station.