Today, I stumbled across Emons Audiolibri, an audiobook publisher in Italy. You can purchase their audiobooks online through Internet Bookshop Italia or through select bookstores that they have listed on their web site. If you're curious to hear the quality, you can listen to short excerpts of various books on their web site. I listened to a dozen selections and was pleasantly surprised by the quality and the fact that many of the authors who wrote the books (at least the more contemporary and recently published ones) read their own books. And I think that that can be an experience itself.
If you're worried about understanding or enjoying it because of your level of Italian, they also have a section for Children's/Young Adults, too. They also read Italian translation of some English classics as well as some Italian children's books. You can find out more about this from their web site.
If you want to learn more about them, check out their YouTube page that shows some of the "Behind the Scenes" action that goes on in producing the book along with interviews with some of the readers/authors.