The first one that came to mind was by the Eagles and off one of my favorite albums, On The Border. Love this live clip with Frey looking like a rock star, not an LA businessman. sigh.
If you have to get dumped, let someone sing real pretty to you while he does it. From Silk Degrees, I give you Boz Scaggs.
Vocally impressive, lyrically biting and overall a great sound. It wasn't number one for 642 weeks for nothing. Adele.
"Rolling In The Deep"
Paul Carrack, if you don't know the name, you know the voice. Remember Ace, Squeeze, Mike & the Mechanics. Yeah, that voice. Well in 1987 he put out a solo album called One Good Reason. There's a bunch of good songs on it, two of which... maybe even three, could fit this theme. I can't choose, so I'm posting two of them.
"Don't Shed A Tear"
"Button Off My Shirt"
Sad story getting dumped or dumping someone... I think I need some blues. Something real sweet by Robert Cray.
"I Guess I Showed Her"
Let's finish it up here with one of the greats. Mr. Ray Charles.
"Hit The Road Jack"
Guess it's time for me to hit the road too. Got a nice bottle of white here, anybody have a corkscrew?