To represent jazz on this list I first thought of Flamenco Sketches by Miles Davis from the groundbreaking album Kind of Blue; then I thought of John Coltrane and Spiritual. (Of course, Coltrane also plays on the Davis track.) Both such intensely mystical pieces of music, I feel.
In 1957 Coltrane had a religious experience that may have helped him overcome the heroin addiction and alcoholism he had struggled with since 1948. In the liner notes of A Love Supreme Coltrane states that in 1957 'I experienced, by the grace of God, a spiritual awakening which was to lead me to a richer, fuller, more productive life. At that time, in gratitude, I humbly asked to be given the means and privilege to make others happy through music.'
WIKIPEDIA
And in the liner notes of Meditations (1965) Coltrane declares: I believe in all religions.