Really weird question.
What criteria beyond confirmation bias are you using to determine other classical texts don't 'get close' to the Bible?
It could have something to do with the fact things don't add up. Lemme put it this way.
They mentioned History, Art, Literature, Religion and Spirituality.
Let's start with art.
What about literature? Well, offhand, the only literature I can think of from the secular world that's half-decent is Cthulhu Mythos and even it is incredibly depressing and dark, or His Dark Materials which becomes increasingly clear that rather than proving any kind of atheism the extended parts about the Magisterium wind up sounding like a rant against the church. Other than that, most of what you get it bland "science" textbooks, some of which aren't real science. A theologian takes apart this in about a half-hour (literally, I skipped to the 30 minute mark, and he was saying "any questions?").
"William Crane? He's stupid." Uhhh, you actually sat down and listened to what he is saying, or just dismissed him without evidence?
What about history? Well, the Bible has its own history, but it is largely mythical (as in, it is from the myth perspective of the Jews). However, as a result of Judeo-Christian influence, classical western history developed. What about history under secular ideology?
Revisionism. All of this re-interpretation of past events, however, fails to address the fact that only
6.98% of all wars are religious. It also fails to address attrocities addressed by secularism, such as the pogroms waged against religious people (particularly Jews), or the fallout of big secular states (Russia under communism, for instance, wound up killing tons of people because they didn't go along with things). To say nothing of the death of animals and humans throughout
tech advances.
Religion and Spirituality is pretty much the last one. In order to make their own Bible, atheism/secularism would need a viable worldview and belief system. But it doesn't even claim to be a belief. That's a poor start. Worse yet, the worldview or value system, while looking at the surface, secular values seem to be okay. Only...
Well, to start with, atheism has a real suicide problem.
In More Religious Countries, Lower Suicide Rates
Atheism Has a Suicide Problem | HuffPost
Atheism Has A Suicide Problem - Dangerous Talk (Yes, I know it has the same title but it's a different article)
Not only that, there is a real difference between moralism for its own sake and having specific values subject to a unifying theme (a religion). Moralism for its own sake simply makes people work hard, but there's no sense of payoff. And there are other problems.
Is "Secular Morality" an Oxymoron? - The Imaginative Conservative
Sartre’s Views on Morality: Not Convincing – Michael Robert Caditz – Medium
In short, until atheism hashes those out and provides a working model for how to live, it cannot and should not write a Bible of sorts.