. . .To turn the tables as an example, do you believe in the resurrection of Jesus Christ? If not, what evidence would convince you that it was a factual historical event that only the son of God could experience? (Edit: By experience, I mean the experience of being resurrected. Others could, of course, experience the event as observers.)
Well, for a start, I'd like a bit more agreement between the gospels, as well as 1 Corinthians on the order and number of people who witnessed the risen Christ, along with other specifics of the Resurrection. It would be most convincing if the gospels did not repeat this word for word, indicating copying. So what I would like is reasonable agreement in testimony from multiple, independent sources.
According to the Gospel of Matthew, the Crucifixion was accompanied with all sorts of special effects: There was a massive earthquake; the curtain in the Holy of Holies in the Temple was torn in two; tombs were opened and (Mt. 27:52, 53):
. . . and many bodies of the saints who had fallen asleep [i.e. died] were raised, and coming out of the tombs after his resurrection they went into the holy city and appeared to many.
Here, again, we could use a little independent attestation. For example, had Josephus mentioned this event - one that's rather hard to ignore - that would be impressive evidence.
Another bit of proof might be a verifiable tomb of Jesus, with reasonable indications that it had not been looted, that, therefore, should contain his bones, but is pointedly empty.
So far, we have none these proofs. Matthew's account of the earthquake and dead people walking around in Jerusalem is his alone. It's not even corroborated by the other gospels. The account of the Resurrection and the order of appearances of the risen Christ differ from one gospel to the next in virtually every detail. There is no extra-biblical support for the Resurrection. Finally, Jerusalem was flattened in the year 70. The supposed Holy Sepulcher was actually "discovered" by Helena, Constantine's mother in the fourth century.