There's the archaeology and an analyse about the names they find being used inside Judea for people at the time of Christ. Dr. Peter Williams makes the argument for this in a rather clear way here:
Rabbi Eliezer is believed to have written the following in the last decade of the first century.
Rabbi Eliezer said, "Balaam looked forth and saw that there was a man, born of woman, who should rise up and seek to make himself God, and to cause the whole world to go astray. Therefore God gave the power to the voice of Balaam that all the peoples of the world might hear, and thus he spoke. Give heed that ye go not astray after that man; for it is written, God is not man that he should lie. And if he says that he is God he is a liar, and he will deceive and say that he depart and comes again at the end. He says and he shall not perform"
(Joseph Klausner, Jesus of Nazareth, London: Collier-Macmillan, 1929, p. 34).
Though Rabbi Eliezer does not name the person under consideration, it is obviously Jesus. He confirms that fact that Jesus claimed to be God as well as Jesus' promise that He would come again.
• The Talmud. (Completed by 500 A.D.)
The Talmud is a collection of Jewish writings constituting the religious and civil law. They were completed by A.D. 500. The Talmud states:
"On the eve of Passover they hanged Yeshu (of Nazareth) and the herald went before him for forty days saying (Yeshu of Nazareth) is going to be stoned in that he hath practiced sorcery and beguiled and led astray Israel. Let everyone know aught in his defense come and plead for him. But they found naught in his defense and hanged him on the eve of Passover" (The Babylonian Talmud, Sanhedrin 43a, "Eve of Passover").