While Germany may not have an exact equivalent of "fair" use, it does have something similar, in the law. It is named "Schranken des Urheberrechts" (limitation of copyright law), which you can find in §§ 44a to 63a (e.g. [1] and [2]). Part of it is the famous (at least in Germany) "Privatkopie" (private copy) which allows for copying material for private use. [3]

[1] http://dejure.org/gesetze/UrhG/44a.html

[2] http://dejure.org/gesetze/UrhG/63a.html

[3] However, you are not alloweed to break an effective copy protection on that way ... which is kind of contradictory, becase if lots of people manage to create those copies privately, that "copy protection" mechanism wasn't really "effective", was it?