I'm interested, too. Also for Italian or Maltese.

It depends on how advanced you would like it to be.
http://www.litteratureaudio.com/ has mp3 audio books in French and you can access the text (also in French) to read as you listen.

These sites are very good for beginners: https://www.50languages.com/phrasebook/en/fr/
http://mylanguages.org/french_audio.php
http://www.sanako.com/en-gb/a-great-site-to-download-mp3-audio-files-on-learning-french-verbs/
https://learnfrenchbypodcast.com/podcasting.php

If you want something even more basic, you'll find several Pimsleur recordings here: http://junglevibe44.net/tracks/pimsleur_french.html

What level are you at?

Some of these are good.

This is good beginner material but it is video, and I do not know if it can be downloaded.

For advanced material, Ripcurlgirl's suggestion of litteratureaudio.com is super.

Added:

audiocité, which is rather like litteratureaudio.com, has a lot of good materials.

ditto, au Fil des Lectures.

ditto, biblioboom

for the audio of novels, etc., that are in the public domain, there are very nicely formatted text files in various formats at ebooksgratuits.

Have fun! French is so marvelous