There is a whole new way (which is really an old way) of interpreting Scripture; it is the way of the New Testament authors (and Apostles) themselves. As an evangelical Christian, trained in the N. American evangelical ways of biblical interpretation (i.e. Literal, Grammatical, Historical given expression within a Dispensationalist hermeneutic) I have primarily learned how to interpret Scripture in ways that are inductive, self-focused, ethically principled, literalist, literary, and other ways; maybe this has been your experience too. But the “new” way, at least as I have discovered it takes its cue from the New Testament itself; if we pay close attention to the contours of the NT we will see a whole new world of biblical interpretation that has a deeply grounded theological, more pointedly, christological orientation. When John makes the claim of Jesus that Jesus is the ‘exegesis’ of God, it becomes quickly apparent that the whole of the New Testament composition believes this claim. Todd Billings communicates it this way:
The New Testament writers interpret the Old Testament in light of the event of Jesus Christ. In a sense, the whole of the Old Testament becomes a book of prophecy to New Testament writers. The New Testament does not merely indicate that passages that were clearly messianic at the time they were written point to Christ. It is not punctiliar, that is, a connect-the-dots kind of exercise between passages such as Isaiah 7:14 and Matthew 1:18 (concerning the miraculous birth of Jesus). Rather, the New Testament appropriation of the Old Testament liberally applies nearly anything about the proper ends of Israel, even the proper ends of humanity itself, to the life of Christ. In appropriating the Hebrew Scriptures christologically, the New Testament writers did not restrict the meaning of the Old Testament to something like the author’s original intentions, or to how the Old Testament text would have originally been heard. Rather, they saw the event of Jesus Christ as itself shedding light on the Old Testament, revealing the “substance” of what were “shadows” in anticipation.
This area continues to be an ongoing battle for me; my hope is to continue to develop in this area, and to better be able to read the whole Bible the way the New Testament authors did. One thing that does need to be mentioned, I think, is that we, as readers today, do not read the Old Testament (for example) the way the NT authors did; they gave us inspired scripture, the best we can do is to have illumined scripture. That said, this fact should not hinder us from the realization that the New Testament (or “New Covenant”) does supply us with an actual hermeneutic to follow (just as Billings underscores). Jesus is the point of creation in general, he is the point of Israel in particular, and the point of all humanity for all eternity; we ought to read all of Scripture as if this is the case.
 J. Todd Billings, The Word Of God For The People Of God: An Entryway to the Theological Interpretation of Scripture (Grand Rapids, Michigan: William B. Eerdmans Publishing Company, 2010), 19.