American English Version

While this isn't really a new version, this is the first I saw it on Christianbooks.  It is The New Testament: American English Version by Vernon S. Mitchell.  Get more information or buy a copy on Christianbooks.

A Modern Paraphrase

Here's another for you.  This is I am God the Son, Read My Story by Elmer Towns and Lee Fredrickson.  It is a paraphrase of the Gospels:

Written in modern English, I am God the Son is a paraphrase of the Scriptures, based on the Gospels, that is different than anything you have ever read before. Not only does it offer different aspects of the key events from the life of God the Son on the earth from the perspect of Christ himself, but it also invites readers into action through specifically directed callouts.

Found this one on Christianbook.com.