The study Why: 40 Days Pursuing Answers To Life’s Biggest Questions recommends the following books for answering the question, “Why Should I Trust The Bible?”
Is The New Testament Reliable?, by Paul Barnett
The New Testament Documents: Are They Reliable, by F.F. Bruce
A General introduction to the Bible, by Norman Geisler and William Nix
The Making of the New Testament, by Arthur Patzia
How Reliable Is the Bible? Tough Questions, by Garry Poole
Is The Bible True?, by Jeffery Sheler
The New Testament Story, by Ben Witherington III