What books of the bible were written about David?

In the Old Testament: Ruth, 1 and 2 Samuel, 1 and 2 Kings, 1 and 2 Chronicles, Ezra, Nehemiah, Psalms, Proverbs, Ecclesiastes, Song of Solomon, Isaiah, Jeremiah, Ezekiel, Hosea, Amos, and Zechariah.

In the New Testament: Matthew, Mark, Luke, John, Acts, Romans, 2 Timothy, Hebrews, and Revelation.

In terms of most frequent mention the books of Samuel, Kings, and Chronicles predominate.