How about Nothing Compares 2U by Prince (a song made famous by Sinead O'Connor). It's one of the angstiest songs I can think of. It's also pretty good.
It's been seven hours and fifteen days
Since you took your love away
I go out every night and sleep all day
Since you took your love away
Since you been gone I can do whatever I want
I can see whomever I choose
I can eat my dinner in a fancy restaurant
But nothing ...
I said nothing can take away these blues,
'Cause nothing compares ...
Nothing compares to you
It's been so lonely without you here
Like a bird without a song
Nothing can stop these lonely tears from falling
Tell me baby where did I go wrong?
I could put my arms around every boy I see
But they'd only remind me of you
went to the doctor guess what he told me
Guess what he told me?
He said, girl, you better have fun
No matter what you do
But he's a fool ...
'Cause nothing compares ...
Nothing compares to you ...
All the flowers that you planted, mama
In the back yard
All died when you went away
I know that living with you baby was sometimes hard
But I'm willing to give it another try
'Cause nothing compares ...
Nothing compares to you
Another song that comes to mind is No Rain by Blind Melon. It's about the desire to find true love and the heartache that comes along with it.
All I can say is that my life is pretty plain
I like watchin' the puddles gather rain
And all I can do is just pour some tea for two
and speak my point of view
But it's not sane, It's not sane
I just want some one to say to me
I'll always be there when you wake
Ya know I'd like to keep my cheeks dry today
So stay with me and I'll have it made
And I don't understand why I sleep all day
And I start to complain that there's no rain
And all I can do is read a book to stay awake
And it rips my life away, but it's a great escape
escape......escape......escape......
All I can say is that my life is pretty plain
ya don't like my point of view
ya think I'm insane
Its not sane......it's not sane