There is only one 'version' of the Jewish Tanach (Bible). Regardless of where you are in the world, the text will be identical to all other copies you may find. There are different language translations but the only real difference in those is the formality of word choice in the new language.
Althought the Christian Old Testament is based on the Tanach, it was altered throughout to support the teachings of Christianity. There are many versions of the Christian Bible.
While there are a number of versions to the Bible. There are 8 primary versions found in history:
Septuagint - 250 A.D. Written in Greek
Vulgate- 400 A.D. First version of the Bible which is canonized at the Council of Carthage in 400 A.D. Written in Latin
Luther's German Bible- 1534 A.D.
King James Version- 1611 A.D. This is the most widely used versions however it has large number of errors given that none of the writers had a decent understanding of Hebrew.
Revised Standard Version- 1952 A.D. Literal translation into American English which used the earliest possible text
New International Version- 1960's & 70's A.D. This is a very good contemporary English version. Another good contemporary English version is New King James Version (NKJV)
The Youngs Literal Translation is as close to the originals as you can get, translated by Robert Young in 1898 A.D.
The Torah (English pronunciation: /ˈtɔːrə/; Hebrew: תּוֹרָה, "Instruction", "Teaching") is the Jewish name for the first five books of the Jewish Bible. In Hebrew the five books are named by the first phrase in the text: Bereshit ("In the beginning," Book of Genesis), Shemot ("Names," Exodus), Vayikra ("He called", Leviticus), Bamidbar ("In the desert," Numbers) and Devarim ("Words," Deuteronomy). In rabbinic literature the word Torah denotes both these five books, Torah Shebichtav (תורה שבכתב, "Torah that is written"), and an Oral Torah, Torah Shebe'al Peh (תורה שבעל פה, "Torah that is spoken"). The Oral...