I find it interesting that people would doubt the total existance of Jesus of Nazareth when No reliable bible scholar today has ever said that Jesus is merely a mythical character.
Also important to note; Paul's writings in which he acknowledges an actual historical Jesus were written BEFORE the first of the gospel accounts of the Apostles. So we cannot really say no evidence exists outside of the gospels because Paul's writing WERE outside of the gospels. As far as him not writing similiar information to the gospels, well his conversion to Christ was unique as compared to the Apostles. He also upon converting to Christ did not seek out any other Christians for 14 years. So he was simply writing from a very different perspective. Nothing in his writings though contradicts the gospel writers in any way, nor the other way around. Again, its a matter of relationship with and perspective only.
Another reason that an actual historical person Jesus existed is that not enough time had lapsed between Jesus' death and the first writings about him to support an actual mythical person called Jesus being created. In other words, most of the people alive during his time were still alive and would have known whether stories about him were made up or not. And they certainly would know if such a person existed.
Another point to ponder is this; why are the gospels being held in suspect "until proven true" to unbelievers anyway? I say the burden of proof lays on the unbelievers to prove the gospels are false. The Jews have always had a reputation for oral tradition and keeping accurate records so I do not see why the gospels would be held in suspect. Again, the burden of proof goes the other way my friends especially since no bible scholar claims the gospel accounts of Jesus are a fake.
About Josephus - some say his writings about Jesus are suspect, some say not. I guess it depends on whom you decide to believe.
Anyway, this is my two cents from the perspective of a believer in Jesus, don't want to argue this points. I am simply stating my views as I see them.
One more thing; even modern day Jewish Rabbis and modern day Muslims say that Jesus Christ of Nazareth existed (by the way he is in the Talmud), they just disagree on who he actually was.
Peace, Lilly