The Museum Festung Dresden is pretty cool, part of the city wall now underground and built over. Eat lunch upstairs at the Post office on Königsbrücker Straße. Outside Dresden, visit Stolpen and see the fortress sacked by Napoleon. A mistress of the Saxon king was locked up there for nearly 50 years. Below the fortress, take a break in Stolpen and have dinner on the town square, if the weather is nice.

For some amazing scenery, take the S-Bahn south from the main station to Schöna. It is a three zone ticket but worth it for the view, and a nice ride if your feet are tired. At Schöna there is a ferry across the Elbe to the Czech Republic where you can get cheap booze, counterfeit goods and new luggage to carry it all. Plus you can say you visited another country.

Along with Radeberger bier, be sure to have a Feldschlößchen bier or two (three...)!