You count Christian retellings of a non-Biblical, non-Christian sources for an eclipse occurring during Jesus's death as actual non-Biblical, non-Christian references when the supposed source itself (Phlegon) does not link itself in any way to Jesus?
Let's look at the actual facts and decide if this counts as useful evidence, shall we?
First, we have an author, Phlegon, who is generally considered one of the more unreliable writers of his age, one who recounts the fantastic at the expense of the ordinary. He is quoted as saying a variety of different things by different authors, but we can probably trust Eusebius' account of what he said. And what he seems to have said was that there was an eclipse and an earthquake that hit Bithynia in a year sometime around when Jesus supposedly died.
You do recall where Bithynia was do you not? How does a possible earthquake and eclipse 300 something miles away from the area where Jesus supposedly died have any bearing on this story?
There is the other issue as well -- how do you propose for a solar eclipse to occur during Passover week? Eclipses can only occur during the New Moon, and Passover is linked to a lunar cycle so that it occurs around the time of a Full Moon.
I specifically said that reference to something vaguely in the time or place doesn't work, yet you linked to an explanation based on a reference that was only vaguely related in time and space. The claim, to work as actual evidence of non-Christian reference to an eclipse and earthquake at the time of Jesus' death, should include some information about an eclipse and earthquake clearly from a non-Christian at the time of Jesus' death. You have provided no such evidence. In fact, examination of the evidence essentially proves that this reference of Phlegon's (who may or may not have written it in the first place and who may have even made it up for other purposes since we do not have the context in which he wrote it and he was known to have written other things in a fantastical manner) does not fit the bill at all.
Would you like to try again?