I should know the U2 and Dire Straits (but don't, so I'll look them up). The other 3 I know well, and they are fine choices.

For me, the prettiest tune ever written is "Backwards" by Mike Ratledge / Soft Machine, with Elton Dean on sax. It's part of a suite titled "Slightly All the Time" which is the second side of Soft Machine Third. Here's the excerpt itself (the full track is easily available): https://youtu.be/A667xEMQQWg

Soft Machine recorded many live versions of this track, including this one (emphasizing Dean's improvisational genius): https://youtu.be/-ImYWHJmnMg

Caravan (many of whose members were part of an early group that included some Soft Machine members--the Wilde Flowers) released their own version several years later, with orchestra as part of a suite on the album "For Girls Who Grow Plump in the Night" (as a standalone, this one might work best in illuminating the genius of the original melody): https://youtu.be/-r2ARJ3vfiQ

This knocks my socks off every time I hear it.