You made me think about this for WAY too long.
It started as a reading list, but evolved into something more like a curriculum.
Genesis (excluding the first 5 chapters and the genealogies), with an emphasis on Abraham's covenant
Exodus 1-20
Deuteronomy, with an emphasis on the punitive nature of the Mosaic covenant
The rest of Exodus
Joshua
Judges
Selections from 1&2 Samuel, emphasis on David's life and two coronations
Psalms, emphasis on David's multiple offices as king, priest, and prophet
1&2 Kings OR 1&2 Chronicles (both aren't necessary), emphasis on the divided kingdoms
Selections from Ezekiel, establishing the different prophetic timelines for the divided kingdoms
Daniel 1-8
Selections from Jeremiah, emphasis on the proclamation of the New Covenant and the dereliction of the Mosaic covenant
Leviticus + Hosea, highlighting the disagreement between the Levitical priests and God's prophets
Amos, emphasis on the "day of the LORD"
Selections from Isaiah, emphasis on the coming Messiah
Luke
Acts
Hebrews, emphasis on a better covenant and the Melchizedek priesthood
Ephesians + a topical survey of chapters about Regeneration throughout the NT
1Peter + 1Corinthians, highlighting the harmonious teachings of Peter and Paul regarding the establishment of the church
John 6-8, Jesus' teachings on heredity and inheritance
Matthew 5, Jesus teachings in the Sermon on the Mount
Selections from Matthew + Hebrews, regarding fulfillment of prophecy and types/antitypes
Selections from Ezekiel + Genesis 2-5, on elect and unelected bloodlines
Obadiah + 1Maccabees, regarding the infiltration of Israel by the Edomites
The Parable of the Wheat and Tares
Romans, with attention to ideas of adoption
Job + Genesis 1, on the creation
...
literally everything else in the Bible
...
2nd half of Daniel + Revelation