Wilfred Owen's "Strange Meeting", by Benjamin Britten.
"Salvator Mundi" by Herbert Howells. Psalm 130, "Out of the Deep", by John Rutter. Psalm 121, "I Will Lift Up My Eyes", also by Herbert Howells. The words "Hallelujah" and "La il Allah", by Delius. "In Paradisum", by Gabriel Faure. "Wie lieb-lich sind dei-ne Woh-nun-gen", by Johannes Brahms. "When Lilacs Last in the Dooryard Bloom'd", by Paul Hindemith. Wilfred Owen's "Strange Meeting", by Benjamin Britten. All of these are non-traditional texts used in musical settings of, FTP, what Office of the Dead?
"Salvator Mundi" by Herbert Howells. Psalm 130, "Out of the Deep", by John Rutter.
{REQUIEM}s  [Note: To the best of my knowledge, no other answer applies to all the above, or even the first two. -- Samer Ismail]