Through the German radio station Deutsche Welle one can hear great artists read German Classics to the public. This program is also available as a podcast: Deutsche Klassiker. (feed)
Just now, I have finished listening to Philipp Schepmann who read a story by Goethe: Die neue Melusine. The story is a romantic version of a fairy tale about a woman shape shifter. A charming elaboration into a magical realistic tale from the perspective of the man who is mesmerized by her.
Next on my play list is a two-part reading of E.T.A. Hoffmann's Der Sandmann, read by Wolfgang Rüter.
As radio programs go, the audio and the reading is professionally impeccable.