And a handful more...
"Your Latest Trick" - Dire Straits (btw, "Sultans Of Swing" is a near favourite song for me)
"Great Southern Land" - Icehouse
"Black Velvet" - David Tyson/Christopher Ward/Alannah Myles/Robin Lee
"Sparrow Song" - The Seekers
"We Belong" - Pat Benatar
"Anyone Who Had A Heart" - Burt Bacharach/Hal David/Cilla Black
"Orinoco Flow" - Enya
And all the songs on Sting's album Soul Cages. And mostly anything by Alan Parson's Project, Al Stewart and Don McLean...
(As a side, my favourite DM song is "Everybody Loves Me Baby", which I wouldn't consider beautiful, but most enjoyable!

)
And, just for the sake of it...
"Brown Eyes" - Fleetwood Mac
It deserves a special mention, even though almost any song by CM or SN is beautiful...
Also, I'm sure that I'm not the only one musing over how quite a few of the most beautiful songs have quite depressing themes...