Christiania... better than Amsterdam. just don't run or take any (and i mean ANY!) photos.
I was impressed by Freiburg for example. A busy university town with affordable places to eat. Plenty going on in the evening if that's your thing, bike paths and lanes everywhere, you can walk straight into the Black Forest from the city centre in 15 minutes, there are eco-quarters with no cars, windmills on the hils around, solar panels in every direction you look, bike shops, the usual German high street shops, friendly people, brothels should you seek more than friendship. A joy for life that seems absent in Copenhagen.
i spent a long weekend in Freiburg with a mate who used to study there. it is perhaps one of the coolest towns/cities that i have ever been to.
surrounded by hills with between 200-500m of gain, some awesome trails - both natural and sculptured (one trail, Borderline, is said to be one of Germany's best - it is pretty good!), so many people there rides bikes. we went to a bar and lined up outside were bikes. proper bikes with knobbly tyres. everyone there seems to ride and talks about riding.
the old town is indeed lovely and very pretty (it stands out when compared to other German market towns which are also generally very pretty) and there are lots of parks, too.
i'd move there in a flash if the GF was to find work there.
i'd never consider moving to Augsburg. full of inbreds and they talk funny. the Schwabs.