I don't know if it counts as a song, not having lyrics, but I spent most of my life believing that
Claire de Lune, by Claude Debussy (who, being French, was a
foreigner to me, as a an American) was the most beautiful piece of music ever to exist.
What disabused me of this was when I heard
Serenade to Music, by Ralph Vaughan Williams (British, so also a foreigner to me). What I first heard was the orchestral (instrumental) version, but in its proper form, it involves human singing, so it qualifies as a song. The orchestral version, I have to say, is more beautiful than
Claire de Lune, and the proper choral version even more so.
Trying to think of a third favorite, is tough. Immediately, I think of
George Gershwin's Rhapsody in Blue, but Gershwin was an American, so not a foreigner. I'm also thinking of
a particularly beautiful rendering of If I Loved You by Laura Osnes, backed by the Mormon Tabernacle Choir, but Rodgers & Hammerstein, who wrote the song, were Americans, Ms. Osnes is an American, and the Mormon Tabernacle Choir is American, so no foreigners there.
Ok, here's a third pick.
Carl Orff's setting of
O Fortuna. Orff was German, so he counts as a foreigner.