In the New Testament, all emphasis is on what God does for man. That excludes any interest in what man, through sacrifices and similar acts, is supposed to do for God (cf. Acts 17:25, quoted above). Only one kind of sacrifice is required from man in the New Testament, and that is man’s offering of his whole person to the service of God, as described in Rom. 12:1: “Offer your bodies as a living sacrifice, which is holy and agreeable to God.” Here the apostle calls it a logical, that is, a spiritual, worship (latreia). This is the sort of worship or sacrifice that may be said to be characteristic of the New Testament as a whole. And in this context liturgical terms are frequently used. But here there is no question of sacrifice in the technical sense of the word. The only sacrifice in the New Testament which may be compared with the Old Testament sacrifices, and which may be regarded as a continuation or rather a fulfilment of them, is the sacrifice of Christ (Rom. 4:25; Eph. 52, etc.).
—Bo Reicke, “Some Reflections on Worship in the NT,” in New Testament Essays: Studies in Memory of Thomas Walter Manson 1893-1958, 197-8