I think when audible says unabridged for the book they mean the stories are complete not that the audiobook has all of Hans Christian Anderson stories.I had this problem with the Naxos Version of Oscar Wilde's Fairy tales.They changed the digital version's title to select unabridged tales or some such thing after I complained.
I think this one is complete:
http://www.audible.com/pd/Classics/F...8478694&sr=1-3