Got it.
Goldeneye / Tina Turner
(P. Hewson, D. Evans)
from the Virgin Records Soundtrack GoldenEye, 1994
(c) 1995 EMI Records Ltd.
A similar compilation was issued in 2008. It was also called "Best of Bond...James Bond". Same compiler, Frank Collura. That one featured "Surrender" by k.d. Lang, and "James Bond Theme" by John Arnold on the main disc. Both of those have been removed on the new one and replaced with "Another Way to Die" by Jack White / Alicia Keys for the new release. Otherwise the two discs are the same including track arrangement.
The 2008 one however did come with an extra disc that was a DVD and included the video for "GoldenEye" - the actual Tina Turner video, not the in movie opening to "GoldenEye". It might be worth looking for.
No credits here to The Edge other than on writing.
I picked up the two disc version because there were some tracks I wanted on the bonus disc. So it wasn't just a U2 fishing expedition.