I find it odd that so many people on this thread can't see why someone would want to live abroad. America may have many good aspects but, just like any other country, there is a lot that it lacks. The fact that so many Americans seem blind to this and to why someone would want to experience a different culture probably explans (a) why the OP wants to move; and (b) why so many people outside the US have a pretty dim view of it.

BTW I think most of the suggestions for European cities are good, but remember that all of Scandanavia gets fricking cold in the winter and so cycling is a bit more challenging.