I found an interesting video about J.S. Bach's influence on popular music and I find this topic quite uplifting. Six songs and their Bach sources are named here.
1. Simon an Garfunkel - Brige Over Trouble Water / Bach - Passion Chorale "O Sacred Head, Now Wounded" ("O Haupt voll Blut und Wunden"). Melody by Hans Leo Hassler (1601), harmonized by Johann Sebastian Bach (1729).
2. Simon an Garfunkel - American Tune / Bach - Passion Chorale "O Sacred Head, Now Wounded" ("O Haupt voll Blut und Wunden").
3. The Beatles (Paul McCartney) - Blackbird / Bach - Bourrée from Suite in E minor for Lute, BWV 996.
4. The Beach Boys - Lady Lynda / Bach - "Jesu, Joy of Men's Desiring" ("Jesus bleibet meine Freude") from Cantata BWV 147.
5. Jem - They / Bach - Prelude in F minor from WTK, Book II, No. 12, BWV 881.
6. Procol Harum - A Whiter Shade Of Pale / Bach - Air from Orchestral Suite No. 3 in D major, BWV 1068.
Also in the comments I found another interesting example:
The Beatles - Penny Lane / Bach - Brandenburg Concerto No. 2 in F major, BWV 1047 - I. Allegro.
Please write what examples of such influence you could give? I mean more hidden influence, not direct arrangements like those done by Jethro Tull, Ekseption, etc.