I've been living in Hamburg over a year now and although I love it here, I feel like I want to see more of Germany. I've made a few day trips in the past year - Kiel, Cuxhaven, Luebeck and Schwerin. I'd like some recommendations on nice places to go for the day, and some great things to do while there. I can make these recommendations about the places I've visited:
Luebeck - Only a 50 minute train ride from the Hauptbahnhof. A gorgeous city with many old buildings and churches. Old town is essentially on an island in the middle of the city, and you pass through a beautiful old tower that was once part of the city gate. It's wonderful to just wander the streets, looking at the old houses, gardens and tiny cobblestoned streets. You can easily explore Luebeck in a day unless you want to spend some serious time in the many churches and visit the Puppen Museum - a puppet museum with the largest privately owned collection in the world.
Schwerin - We visited with a friend whose mission in life seems to be to visit all the castles in Europe. There is a beautiful castle one can tour with exquisite castle grounds right on the water. There was also a street fair going on near the large church in town. A lovely day trip although I'm not sure what else there is to do there other than seeing the castle.
Cuxhaven - We went to the seashore and rode our bikes along the water. We came at low tide and it amazed me to see sand stretching all the way to the horizon, with a few ships obviously very far out at sea. There is an island one can cross to at low tide, either by foot or on horse drawn carriages, or by boat. We didn't go although we'd like to next time we visit. It was surreal to watch the horses trotting along over sand that would be covered by water in only a few hours.
