Terry's right. If you could talk to first century Christians and ask them what their "Geeek Sciptures" were, they would produce the Septuagint. That was the "Greek Bible" back then.
I agree. Without question, the early Christians made the Greek Septuagint version, their own Bible.
But more, the key Textbook I'm using this semester is entitled, Introducing the New Testament - Its Literature and Theology (Eerdmans, 2001) The authors are Achtemeier, P.J., Green J.B., Thompson M.M. Check it out- its a respected textbook.
And in ch. 2, the first sentence is: The New Testament is in Greek. Important in the eyes of the authors, because the fact that the NT is written in Greek is evidence of the massive cultural transformation that shaped the era just prior to early Christianity and the next centuries. Christian thought as we have inherited it, is as much a product of Greek/Hellenic thought as was Jewish/Hebrew influence.
Is Freddie's term, the Christian Greek Scriptures demonstratably wrong? No! its actually quite descriptive. The term, Christian Greek Scriptures is as descriptively correct as the more commonly used term, the New Testament.