Now we are free, Gladiator
Concerning Hobbits, The Fellowship of the Ring
Pippin's song, Return of the King
Houses of Healing, Return of the King (the entire soundtrack is great anyway)
And agree with Ennio Morricone! The theme of Mission makes me shiver of emotion. But my favorite of the movie is definitely Gabriel's Oboe, as this is more peaceful. Last of the Mohicans' theme is really good too.
Time, Inception
Gotta go with "Blues Brothers" first. The music from "Amadeus", being mostly Mozart, is amazing. Then some of the classic musicals, like "Sound of Music", "My Fair Lady". And I like a lot of the music in "Back to the Future", especially "Power of Love".