The beaver has quite recently been reintroduced into the area which I currently reside, Trondheim. It is however far more abundant down in Telemark and Aust-Agder, where I come from. The area in Norway from where all of the beavers in Norway come from.
Beauty, there are numerous location, but the western part is the most dramatic. All of these are quite easily accessible.
Geiranger
Prekestolen
Trollstigen
Jostedalsbreen
Heddal Stavkyrkje
Hardangervidda
In Sweden (Haven't been there, but I want too):
Sarek
Just ask if you have additional questions.