I will admit that it doesn't seem like a problem, but it kinda is. You'd never see a group of people laughing and at how a woman got her breasts cut off.
Uhh... if you've never seen a group of people laughing at female domestic abuse, you've been hanging around way too nice people. Politically incorrect jokes are common. It's when it becomes something traumatic/hurtful that it's not funny anymore. For example, I'd make rape jokes if it'd be funny (male or female) but never in front of an actual rape victim. You can make jokes about a nation getting hit by tsunamis, but not right after a tsunami actually kills people there.
Reality is that you'd probably find way more real situations where a woman has her privates abused than a man would, so it makes the situation much less funny.
The outdated alimony and divorce laws Or even something as common as pregnacy
This goes down to a much deeper level. I live in Malaysia, where divorce laws are very strongly biased towards the man, as in he can divorce her as easily as breaking up with his girlfriend (though he still has to fill in annoying forms). This is countered in that the man still has to pay alimony to the woman.
Women's suffrage is a relatively new thing. Yeah, you have voting rights, which are maybe 2-10 generations old. But you still don't have equality. It's still culturally accepted that women should stay home and cook/clean/feed kids and men should work and support the wife and kids. Women are the 'fairer sex'. As much as people deny it, just look at things like age of marriage stats and difference in average pay.
People have been working to get rid of this perception, but we're only halfway there. We're going liberal to the point that it's acceptable to have children without being married. The laws have been a little slow to catch up to this. And since the political climate is trending towards women's rights, it's easy to take the first step and give women more power over things like divorce, but very hard to take power from things like alimony.
Ideally, you'll want to give both men and women equal rights, have divorces split things 50-50, no alimony. But modern countries are only halfway there. And third world nations are not eager to take the painful first steps towards going there, especially since it's not even embedded in the culture.
What I'm trying to say is that this isn't a matter of misandry, it's just cultural adaptation. A lot of people working with this certainly don't hate men - they just feel that men are financially responsible for things.