In what ways does institutional / systemic sexism exist in the Western world?
The education system favours girls over boys.
Trolling and targeted harassment on social media is taken more seriously by the authorities when the victim is a woman.
On average, men receive harsher punishment than women when they are convicted of the same crime.
Men are more likely than women to be promoted.
Men get away with harassing and discriminating against women all the time. The fact that they feel empowered to act like that, expecting they'll get away with it, is evidence that the problem is systemic.
Men are more likely than women to commit suicide.