Ok let’s view this as generous as possible: You don’t mean that all men spontaneously die, but that humanity would have evolved as a monogendered race which would be more like women than men. The Asari would be similar.
Ok so what would we as humanity absolutely lose? Gender inequality. That’s it. On the rest:
Crimes: Women are just as capable to be criminal as men. Including sexual crime like rape or pedophilia. While men generally are more likely to be predators in a world full of women all sexual predators would be women.
Religion: there are a few studies that attribute the first religions to women. Actually religion has nothing to do with male or female, but with the human evolved tendency to see patterns when there are none.
War: While men are more aggressive than women that is also formed by society and war is often caused by an imbalance of (perceived) power and resources. No aggressiveness but only calculation. So we would still see war.
Fear and racism: Sadly humans are programmed to fear the unknown. Having no men would not change this. So you would still have fear and racism.
So yeah every gender related problem would go away the rest would stay. Also it is not unlikely that the all women population would find new ways to discriminate between each other by some stupid logic, because there will always be assholes in any group.