While I have read the Bible cover-to-cover in the past (the first time reading it, I did this), I also agree that it's not the greatest way to read through the Bible.
Over the past three semesters I've read Matthew, Mark, Luke; Genesis, Exodus, Leviticus, Numbers, Deuteronomy, Joshua, Judges, 1 + 2 Samuel; Acts; Amos, Hosea, Micah, Isaiah, Nahum, Zephaniah, Habakkuk, Jeremiah, Ezekiel, Obadiah, Haggai, Zechariah, Malachi, Jonah, Joel; 1 + 2 Thessalonians, 1 + 2 Corinthians, Romans, Galatians, Ephesians, Philippians, Philemon, Colossians, 1 + 2 Timothy, Titus, Hebrews, James, 1 + 2 Peter, and Jude (where ; denotes divisions between classes.)
So that is what I have read over the past year and a half...on top of carefully outlining and analyzing the text (with the exception of the Gospels, because that was a "basic" level theology class - but I am going to do the same with Matthew, soon.
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All I gotta say is, the deeper you dig, the less boring it becomes. It really does become more and more fresh, more and more alive. You start finding you like the most random of people (For instance, I
love Ebed-melech in the book of Jeremiah! XD) and the more you learn, the more you want to know. (I am itching to continue into my third semester of Old Testament classes!)
It takes time to find the right fit in the direction you want to take in learning Scripture more deeply. For me, I've challenged myself currently in getting to know the time of the conquest and entering into the promised land. And on top of this, I'm going to do an in-depth outline to the book of Matthew. /nerd.