"Just" anger gets really dull really fast. That's why "That Dirty Old Man" from Forum is so good. Dominia is furious, but the song is innately funny.
"I Hate Men" from Kiss Me, Kate is fun, too. However this will probably be on the 'overdone' list.
Or:
Learn "Falling in Love With Love", and then take it really dark in rehearsal and with very focused anger and hurt. Think of doing the song once through and standing stock still in a pin-spot looking at an exit sign on the back wall. Don't do anything to distract from the lyric--no gestures, no posturing, no movement except your mouth and the fire in your eyes. Just get those words out and let them do their work.
It will be a good acting exercise to see how deep and dark you can go using only your voice. Don't be afraid to make the listener just a little afraid for two minutes. Don't worry about being disliked.
The way the song is written, the person you are most angry at is yourself. Stay in your chest voice as much as you can. It will be easier to hear the lyrics.
"Caring to much is such a juvenile fancy.
Learning to trust is just for children in school."
THAT's anger.
"If my life weren't funny, it would just be true. And that would be unacceptable."
--Carrie Fisher