I can imagine how some of those songs would sound too like:
Born To Kill - imagine a more guitar filled version of "Up in Flames" by Nicki. Lyrics would be about how everyone doubts her, and in the chorus, she would sing "don't you realize I was born to kill?"
I Wanna Be With You - essentially the same as the Swinefest version, but you know that deep synth the comes in during the post-chorus of "Dope"? the song would be based around it after the 2nd verse.
Red Lipstick - Basically "Cabaret" by Justin Timberlake, but with more classical influence
A Dame For Him -  a very light, wispy, and short ballad where Gaga sings about how after a show, she'll always relax with Taylor, and no matter how crazy her life gets, she'll always be "the dame for him"
Living On The Radio - imagine "Gypsy", but with the post chorus synths slowed down playing behind the chorus.
Princess Die - 
like this. exactly like this.
Element of Crime - A slightly funky Pharrell production where Gaga and Britney trade verses discussing their artistry. Imagine a mix of "I Was Gonna Cancel" by Kylie and "On My Own" by Miley.
Demise - A very very spare and bleak song, with Gaga talking about her fear of death, and the inevitability of being forgotten after death. She and Elton both sing the chorus.
I should get vocal lessons and steal these unused ideas tbh. 
