When I was engaged in pastoral ministry and adult religious education in Ireland before coming to Mount St. Mary’s Seminary in Emmitsburg, Maryland, USA, I offered Bible study courses to adults in two venues in Cloyne Diocese each Fall and Spring covering one third of the Bible.

First Course: Enjoying the Bible: course outline and samples

Second Course: Enjoying Paul's Letters and the Old Testament: course outline and samples

I need to update these courses and when I have them updated I hope to put them online for your benefit. In the meantime you may find some of the following books useful for your Bible Study:

The Collegeville Bible Commentary, Based on the New American Bible: Old Testament/New Testament (The Collegeville Bible Commentary)

Reading the Old Testament: An Introduction is a very useful introduction by Fr. Lawrence Boadt C.S.P.

God's Word to Israel by Joseph Jensen

Reading the New Testament: An Introduction is the corresponding New Testament volume

The Collegeville Atlas of the Bible as well as giving you maps guides you through the main parts of the Bible

The above books should prove useful for anyone wanting more than a passing knowledge of the Bible. For those who want a brief introduction the following may be helpful:

Inside the Bible: An Introduction to Each Book of the Bible by Fr. Kenneth Baker, S.J.

You Can Understand The Bible: A Practical And Illuminating Guide To Each Book In The Bible by Peter Kreeft

Guide to the Bible by Antonio Fuentes

The following books are Catholic apologetics

Keating, Karl Catholicism and Fundamentalism: The Attack on "Romanism" by "Bible Christians"

Madrid, Patrick Where Is That In the Bible?

Mork, Dom Wulstan Transformed by Grace: Scripture, Sacraments and the Sonship of Christ

Gray, Tim Sacraments in Scripture