The Lexham English Bible has been made free to download in various formats. It's apparently meant for use in lexical studies and such, but Logos began making this the default Bible version for their Bible software. They have downloads available in several formats including epub, but not mobi.
Lexham English Bible
Download page
Their licensing terms allow no-cost redistribution, so if someone wanted to convert it to a reasonable Kindle version, I think he or she could give it away. I ran
kindlegen on it and the formatting is fine, but the table of contents got lost somewhere along the way.