LearnScripture.net has the following Bible versions available, used by permission. Their copyright notices are below.
KJV - King James Version
The KJV is in the public domain.
NET - New English Translation
NET Bible® copyright ©1996-2006 by Biblical Studies Press, L.L.C. www.bible.org All rights reserved. This material is available in its entirety as a free download or online web use at http://netbible.org/
ESV - English Standard Version
Scripture taken from The Holy Bible, English Standard Version. Copyright ©2001 by Crossway Bibles, a publishing ministry of Good News Publishers. Used by permission. All rights reserved. Text provided by the Crossway Bibles Web Service.
I want to use the NIV / NLT / NKJV / other version...
In general, getting permission for modern Bible translations has proved very difficult. This is usually due to agreements that the translators have with their publishers. The big exception to this was the NET, a translation set up specifically to address that major problems that other translations have in this regard, and instead embrace the internet and modern technologies that allow God's word to be freely distributed.
The NIV licensors, Hodder & Stoughton, require a significant minimum payment before they'll allow us to use that version, which would be not viable for LearnScripture at this point in time.
The copyright holders of NKJV would like a much large user base before they allow the use of that version.
Our request to use the NLT has been turned down by the NLT publishers. This is out of the control of the authors of NLT themselves, because of the agreements they have with the publishers.
If there are other versions you would like, please contact us. However, it always depends on getting the agreement of translators/copyright holders, and we have to wait for their timing too!
The site memverse.com has a larger user base and offer a much larger range of versions. The workflow and interface for learning are quite different from on LearnScripture.net, but obviously work for a lot of people.