Does the Christian Old Testament have the exact same list of books as the Jewish Bible? Does the Christian Old Testament include exactly the same books that are in the Jewish Bible (called the Tanakh in Judaism)? Are there any differences between the Christian Old Testament and the Jewish Bible?
The Christian Old Testament is the Jewish Bible.

They are the same books, but in a different order. Some Christian churches also add the deuterocanonical books, which are not held as scripture by the Jewish Bible.