The prophecy of Cyrus has been verified as having been written long before his birth as well.
Citation required.
The prophecies about Jesus were all fullfilled by his own chosen actions, true. But the sheer number of them make it improbable that he'd be able to do it, let alone the fact that free will was always a variable - what if they actually acceptd Jesus and didn't put him to death?
What specific prophecy that mentions Jesus by name are you referring to?
The flood is a questionable one I suppose, but when you factor in that every culture in humanity has a legend about a global flood it makes it far less improbable. Why would such a story span across cultures that were even separated by the oceans?
That's not the point, but a decent guess would be because early civilizations had to live very close to water. They all also had gods that weren't Jehovah and Jesus. The evidence, in any event, says no global flood.
The fall of Jerusalem by Rome was foretold, and only those who listened to Christ's direction to, "Flee to the mountains" survived.
Where specifically, was the fall of Rome foretold, with specific details?
Finally, just as a general point of support for the authenticity of Jesus. Josephus was alive, and saw him in action.
Specifically where did Josephus say he "say him in action"?
Further, Daniel had his vision in which he saw the beasts which the angel then identified for him as certain world powers by name - this all came true, even down to the fine details of Alexander dying early and his kingdom being split in four.
This didn't exist in earlier versions of text (written in a different language and style by an unknown author, BTW). Not a prophecy but a clear later addition.