I think we all know about the controversial writings of The Antiquities of the Jews by Flavius Josephus and The Annals of Tacitus for example. Some say the parts about Jesus in their writings were forgeries and others think they were authentic. But these men were not even born at the time of the supposed crucifixion of Jesus that happened in 30-33AD. They were born after his death.
The only reason I might believe that Jesus existed 'possibly' is through the Pilate stone finding by archaeologists in 1961 which was dated between AD 26-37. And this is the correct time frame for the events described in the Gospels. But this is not evidence for Jesus but for Pontius Pilate.
The translation from Latin to English for the inscription reads:
To the Divine Augusti [this] Tiberieum...Pontius Pilate...prefect of Judea...has dedicated [this]...
Confirming this biblical figure's existence was crucial insofar that he played an important role in the execution of Jesus. This makes me think it's more plausible now that Pontius Pilate probably knew of a man named Jesus at the time and maybe even had a man named Jesus executed. But this is me just imagining such a scenario now. I can't ask Pilate what really happened then because he's been dead for about 2,000 years.
So, what is the evidence for Jesus?