I Can't Quit You Baby by Various Artists (the Led Zep version is great)
Cinnamon Girl by Neil Young
Built to Last by Tom Petty
Lay Down Sally and Wonderful Tonight by Clapton
Sweet Little Angel by B.B. King
Cocoon by Björk

In the same vein as You've Lost That Loving Feeling I submit The Thrill is Gone

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Hwæt! We Gardena in geardagum,
þeodcyninga, þrym gefrunon,
hu ða æþelingas ellen fremedon.