Aachen is a nice city, with a cosy old town, at the border with The Netherlands and Belgium. It is home to the 1200 year old Dom/Cathedral (#1 on UNESCO heritage list, since 1978).
The Chiemsee (aka. the Bavarian Sea because of its size) is a lake in the province of Bayern.
Cologne (Köln) is mainly known for: the Dom (huge cathedral), the Eau de Cologne ("parfume"), Carnival and the location near the river Rhine. Locals may also add the beer and the football club...
Dresden is a nice city in former East-Germany. The royal buildings are among the most impressive buildings in Europe. The most prominent building in the city of Dresden is the Frauenkirche.
Frankfurt am Main is a major city and hosts the largest airport of Germany. It is also a large financial centre and home to the European Bank.
Garmisch-Partenkirchen is an Alpine city on the border with Austria. The Zugspitze (highest mountain in Germany) is nearby. The city is known for great skiing including famous ski-jumping tournaments.
Hamburg is a major harbor and has nice sites and cafes. The old Speicherstadt and new Opera Building feature great architecture. Also worth visiting is the Miniature Wunderland, a very large, running model train that features many world sites. And yes, it's most famous, world-renowned citizen is the edible Hamburger!
Heidelberg is a 800 year old university city on the Neckar river. It is a beloved touristic location thanks to its cityscape. One of the biggest tourist attractions is the Christmas market during the winter time.