'Is there any proof anywhere in history where Jewish or Christian people lived their life according to the Scriptures?"
Although some people are better than others, the correct answer is no. "There is no one righteous, no not one". "All our righteousnesses are like filthy rags". Even the Jews, with all there cool ancestors, miracles seen by God, meaningful holidays and law code couldn't do it.
"Which of the prophets did your fathers not persecute? And they killed those who foretold the coming of the Just One, of whom you now have become the betrayers and murderers, who have received the law by the direction of angels and have not kept it"- Acts 7
This is why Jesus three times told Nocodemus that he must be born again. Jesus was sent to seek and destroy the sin nature inside of man, and not the sinner.
"I have come not to condemn the world, but to save it". - Jesus
Jesus changed the focus of salvation from works to belief. So, while I cannot always be obedient, I can always believe. That is something I CAN manage. God says I am his son, under his care, and heir to all that he owns for that simple act of my will.
So, in a New Testament context, yes millions of people live a life of belief.... according to the NT scriptures.
Now to him that worketh is the reward not reckoned of grace, but of debt. But to him that worketh not, but believeth on him that justifieth the ungodly, his faith is counted for righteousness. - Romans 4: 4-5