The first is from Return of the king, it's the music that is played when the Rohan people are riding towards the Orcs in the middle of the movie. I don't remember the name of the original song (the one that is played is another version) but I call it 'Rohan theme' The calm version of it is played also in Two towers when Legolas, Aragorn, Gimli and Gandalf are about to enter the city (you know, the scene where the flag is ripped of).
The second one is from Tomb Rider the cradle of life. I'm really desperate to find the name of the song that is played in the travelling scenes in the jeep near the end of the movie, when they're driving to the mountain of god (that it's called in the movie)
I really don't know if I can call any of theese 'Songs' because there isn't any singing. I hope someone answers before monday, bot if you read this tomorrow, please answer anyway.