OK, so you're asking where's the evidence if we exclude the best evidence we have.
An odd question.
There's a reference in Josephus, but he certainly didn't write all of it, and may not have written any of it. Also what may be a reference to the killing of Jesus's brother James, but it's highly ambiguous.
Josephus is quite hopeless as evidence of Jesus. For a start Josephus was not even born at the time of the purported events, so any account from Josephus can only be hearsay. But worse still - we do not actually know what, if anything, Josephus originally wrote about Jesus, because we don't actually have any original copy of whatever Josephus wrote around 100AD. Instead all we apparently have are copies dating from the 11th century and later! That's a whopping 1000 years after Josephus had died! That's a 1000 years of continual Christian copying in which the copyists could have made all manner of alterations, additions and deletions from what is in any case only a very, very brief mention of Jesus.
The strongest evidence we have, of course, is that there is a group of Jews in the middle of the 1st century who say they are followers of a holy man named Jesus who lived in Galilee and was crucified by Pilate.
We even have letters from one of them which describe his dealing with some of the others who, according to him, knew Jesus or were even related to him.
What are these Letters from Jews where the extant copies are actually dated to the middle of the 1st century AD? You don't mean the Christian copies of Paul’s letters? Because those are not contemporary with the life of Paul. The earliest copy we have of anything from Paul, is afaik at least circa.200AD, and since that is not scientifically dated I would not be surprised to find even that date turns out to be very optimistic.