What would you describe as the most relevant issues that plague men today? the ones I usually hear - male rape not being taken seriously, higher suicide rates, alcoholism, the inequalities of marriage and child custody all stem from old fashioned masculinity. Ideas that propose men should bottle their feelings, be stoic, emotionless, that they're the dominant sex and that getting raped by a woman is a joke, that they're only breadwinner incapable of taking care of the house. All these things have the same common root.
Male rape not being taken serious is an issue when it's acknowledged. There are many places where the legal definition of rape only covers sexual violence committed against women. The other issues that you haven't mentioned include bias in the justice system, whereby men are more likely to be sentenced to prison, given longer sentences and are more likely to remain in prison longer than women are who have been convicted of the same crime, the lack of support for male victims of domestic violence, the fact that men in many countries are subject to conscription or other forms of compulsory military service whereas women are not, the falling educational outcomes of boys and young men, the falling graduation rates of men at universities, etc. There was one other I thought of, but for the life of me I can't remember what it was.