NKJV Audio Bible

This is the only free audio Bible player on the internet (as far as I can tell :).
It is provided by Blue Letter Bible.
This player allows you to choose the book and chapter. This player also has a NLT, KJV, and an RVR(Spanish) versions. It runs on Adobe Flash, so most people will only be able to use this on a laptop or desktop computer.

(If anyone can convert this player to HTML5, please feel free! I'm sure the folks at Blue Letter Bible would appreciate.)

For those who cannot use flash, you may be interested in the Bible-Smith's NKJV YouTube Playlist.