Historically accurate? Well, a lot of the Tanakh is folktale and folk history. It's doubtful whether there ever was an Egyptian Captivity, but there was an Egyptian presence in the Levant for a number of centuries; there's no contemporary evidence or archeological evidence of Solomon's splendour, but there was a place called Sheba and it would be usual for it to have a monarch. Much if not all of Daniel is transparently storytelling but Daniel is a reflection of the Babylonian Captivity and the civilizing influence it ended up having on Israel. It's at the least a remarkable cultural document.
The NT is far more problematic. There doesn't have to be an historical Jesus to account for it, for example ─ and though I think there possibly was, there's no clincher either way. With the further problem that if there was, none of the NT authors ever met him, there's nothing like a biography of him in Paul, there's only one biography and that's Mark, used as template by the authors of Matthew and Luke to add, subtract and vary, and more loosely by the author of John, writing sixty - seventy years after the traditional date of Jesus' death. In the result you have three distinct kinds of Jesus ─ the gnostic Jesus of Paul and of John, who pre-existed in heaven with God, and made the material universe; the ordinary Jew of Mark who only becomes the Son of God when adopted on his baptism; and the unhistorical pantomime tall tales in Matthew and Luke whose Jesus results from the divine insemination of a virgin. All of that stands between us and whatever history is actually there; it seems generally accepted that there was a Jewish cult of Jesus such as Paul alludes to, but we know very little about it. And what are we to make of the later alternative gospels? The books of sayings?
And the incoherence of the message: all of a sudden after well over a millennium you're going to need an intermediary instead of praying directly to the Jewish God. Ahm, why? What changed? And why was Jesus on a mission that MUST end in his death? WHY must Jesus die (quite horrifically)? What could his death achieve that his omnipotent Father couldn't achieve without bloodshed? (And as for the Trinity, which isn't in the NT at all, pshaw!)