"I want your love and I want your revenge
You and me could write a bad romance"
I have always seen "You and I", as opposed to "You and me". I rely on a rule of thumb that if we remove the other person ("you and"), then what remains (I or me) should make grammatical sense.
Here, "Me could write a bad romance" does not make sense, but who am I to question the grammar of an English-speaking singer?