Here's one example of biblical history being proven correct:

http://www.dailymail.co.uk/sciencetech/article-4739152/The-Babylonians-DID-burn-Jerusalem.html

Babylonians DID burn Jerusalem 2,600 years ago: Charred wood, pottery and bones found in the City of David confirm scenes of devastation described in the Bible

Researchers discovered charred wood, pottery and foods in the City of David
They also found dozens of jars with stamped rosette seals on them

The findings confirm the scene in the Bible which states that the Babylonians 'burned all the houses of Jerusalem'

Archaeologists from the Israel Antiquities Authority discovered the charred artefacts while excavating the City of David in Israel's Jerusalem Walls National Park.
The burning of Jerusalem by the Babylonians was first described in The Book of Jeremiah, which states: 'He burned the house of the Lord, and the king's house; and all the houses of Jerusalem, even every great man's house, burned he with fire.'
As well as the charred wood, pottery and food items, the researchers also discovered dozens of jars used to store grains and liquids – many of which have stamped handles and rosette seals.
Ortal Chalaf and Dr Joe Uziel, directs of the excavation, said: 'These seals are characteristic of the end of the First Temple Period and were used for the administrative system that developed towards the end of the Judean dynasty.