The ASV Bible is a Meaning-to-Meaning translation of the original texts. This means that rather than exact word translations, this translation gives the most direct connections from phrases used in Biblical times to modern phrases.
The ESV Bible is also a Meaning-to-Meaning translation of the original texts. Compared to the ASV translation, this translation also prioritizes phrases and their meanings. But this edition attempts to be more literal in its word choice.
The KJV Bible is a Word-to-Word translation of the original texts. This means that the emphasis is on the exact word translation from Ancient Greek and Hebrew to our modern English. The benefit is a more accurate translation. The downside is many find it more difficult to read.
The NIV Bible is somewhat of a bridge between the Meaning-to-Meaning translations and the Word-to-Word translations of the original texts. This means that it contains more modern phrase translations while also emphasizing the importance of original word choices.
The NLT Bible is another Meaning-to-Meaning translation of the original texts. Like the ASV, it engages an approach centered on common language patterns over exact word translations, making it slightly easier to understand.
The NKJV Bible is a Word-To-Word translation of the original texts; it is an adaptaion of the original King James Version (KJV). Compared to the KJV, this version has been adapted to reflect the changes in the meaning behind current English words.
The NRSV Bible is a Meaning-to-Meaning translation of the original texts that can best be described as a revision of the ASV. This means that it follows the same principles of translation as the ASV but attempts to use more current phrase translations.
The Message is a paraphrased translation of the original texts. This means that the text uses more "artistic license" with the language. This translation is one of the easiest to read and understand while one of the furthest from the original word use.
Bible apps from the App-Store or Google-Play provide an electronic version of many of the above translations. Just search "Bible"