Well I wouldn't say Harry Potter reflects very many Christian elements. Not only do the bad guys win most of the time, but it heavily influences sorcery on its audiences. But that's just me.
Lord of Rings has a truck-load of Christian elements, with good ultimately triumphing over evil. First, and most important, is the basic fact that events that transpire in Middle Earth do so, not according to the will and intent of the characters who populate these realms, but rather according to a lovingly crafted plan, which would be referred to in Christian parlance as "Providence." The suggestion that the "Ring" can be the key to whether good or evil prevails speaks of a universe founded upon certain principles, or as Christians would put it, "created" by a certain God.
Second, the characters in the narrative are shaped and defined according to their particular role in the unfolding of that plan. Central to the Rings cycle is the notion of Christian heroism, as expressed, for example in both Frodo and Sam. The true heroes for Tolkien, are not those who excel in qualities of strength or intelligence, but rather exhibit a spiritual depth. The outward manifestation of the inner light is fidelity to a higher cause.
The ethic that governs Tolkien's imaginary world is the same one articulated by St. Paul who wrote: "For now we see in a mirror dimly, but then face to face. Now I know in part; then I shall understand fully, even as I have been fully understood. So faith, hope, love abide, these three; but the greatest of these is love."
Finally, the universe which Tolkien has created, and is faithfully rendered in these movies, is deeply sacramental in that through its stunning scenery and lavish visual detail, the light comes shining through.
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