At the annual Society of Biblical Literature meeting in San Francisco, I and a number of other folks picked up John Schwandt’s audio version of the United Bible Societies’ Greek New Testament (4th ed.). An audio version of the Hebrew Bible is also available here in “Sephardic-style modern Hebrew.” Although the audio quality is not as crisp as it is for Schwandt’s GNT recording, these Hebrew Bible recordings are an excellent, free resource. They seem to follow BHS (5th ed.), but I have not seen this fact explicitly stated on the site.
On a technical note, if you can use Mozilla Firefox, you can install the DownThemAll! addon and then reopen the page with these Hebrew Bible audio recordings. When you “right” click (or the equivalent for your operating system) some blank space on the page, the context menu should display a DownThemAll!… option. Clicking this option should display a dialog box in which all of the page’s individual, chapter-by-chapter mp3 recordings are preselected for download. Clicking Start! will then let this download run in the background while you do other things rather than requiring you to click individually on each chapter’s mp3 in order to download it.
The same set of recordings also appears to be available here (HT: Luke Wisley). On the reader who has recorded the text, see also here.