I always thought that R.R. in his name had to be a direct homage to Tolkien.
GoT is inarguably more realistic in its portrayal of human character than LOTR, but I got tired of the unrelieved anti-heroism.
LOTR is epic or as a poster said, biblical. Somehow, though, that heroic saga quality doesn't convey a more rounded view of life, which GOT in a way does. LOTR seems a bit more one-note. I got a bit tired of the epic-heroic quality, while the hobbit world that might have added variety really didn't work for me -- a little too much English sentimentalism.
Arguably, though that very concentrated or unified Wagnerian character of the stories may mean that LOTR will last longer than GOT, in the same way that generations did feel the need to pass down and record their epics and sagas while they let stories and anecdotes that conveyed other sides of life pass away into oblivion.
I only know the video, though, not the actual books.