Oooh, nice one.
John Lennon’s “Mother” from “Platic Ono Band” is right up at the top. Primal Scream rage at its finest.
Ground Zero, by The Retrosic:
I’m made of scorn, and you’re the reason why
I blame this country, and you’re the reason why
I hate this world, and you’re the reason why
That’s the cause, why you’ve got to die
Diamanda Galas, “Do You Take This Man?”
Husband, with this blade, I do thee adore.
My favorite song by him. The beat is whoa.
“Animositisomina” by Ministry
Pretty much all of Marianne Faithfull’s album Broken English could make honorable mention, but the tune “Why D’Ya Do It?” is one damn angry song. Warning: Lyrics that got it banned in Oz and by extension in NZ for some years. (Yes, I do mean “banned” as opposed to “not played on air”. The vinyl LP I bought in NZ was missing the track – as in there was several minutes of silence instead of music). 
Damien Rice - Rootless Tree
The chorus of which begins with:
“so fuck you, fuck you, fuck you
and all we’ve been through”
Oh, but so good.
Reaching way, way back for this one.
Friends of Mine from The Guess Who’s “Wheatfield Soul” album,
you get Burton Cummings channeling Jim Morrison, circa “The End”:.
There’s this angry hornet-buzzing guitar behind, and the last lyrics in that stanza are shouted with echo.
Nailed me, back in the day.
Dropkick Murphys - ‘Walk Away’
I’ll throw in “The Kiss” from the The Cure’s Kiss Me, Kiss Me, Kiss Me.
Oh, and the “F. U.” section from Spock’s Beard’s “The Water” from the The Light.
Offspring - Bad Habit Road Rage!
Hank III - Go Fuck You Only video I could find unfortunately
Maybe more disappointment and resentment, but nonetheless very angry lyrics are http://www.civilizednation.com/music/Sting/song_433.php
Pawns in the game are not victims of chance
Strewn on the fields of Belgium and France
Poppies for young men, death’s bitter trade
All of those young lives betrayed
The children of England would never be slaves
They’re trapped on the wire and dying in waves
The flower of England face down in the mud
And stained in the blood of a whole generation
I nominate “One More Minute” by one W.A. Yankovic:
So I pulled your name out of my Rolodex
And I tore all your pictures in two
And I burned down the malt shop where we used to go
Just because it reminds me of you
That’s right you ain’t gonna see me cryin’
I’m glad that you found somebody new
'Cause I’d rather spend eternity eating shards of broken glass
Than spend one more minute with you
A personal favorite Suicidal Tendencies “You Can’t Bring Me Down”
First to mind was “Head Like a Hole” by Nine Inch Nails, and Trent has so many others as well. But I realized that one of the most explicitly angry songs I’m familiar with is Flashback by Ministry.
My problem with the song is that it is too easy to crank up and sing along with…despite the fact that I don’t feel the way he does.
How about http://www.youtube.com/watch?v=GDcwBWWKGIs? (Slipknot - Surfacing)
Lyrics contains gems such as:
Fuck it all! fuck this world
Fuck everything that you stand for
Dont belong! dont exist
Dont give a shit
Dont ever judge me
“Seeing Red” by Minor Threat