There is in Shrek 2, when the Queen says to her husband "Oh, stop being such a drama king". Sorry, I couldn't resist it.
I think the OP has a point, in that not so long ago, the status quo was "boys will be boys", who are allowed to have fun and be naughty, while the girls be good, and stay at home helping Mother; and if they're naughty, they bring shame on their family. See also "What are little boys made of? Slugs and snails, and puppy dogs' tails. What are little girls made of? Sugar and spice and all things nice." What I think the OP is noticing is a backlash against these old stereotypes.
I think the bigger problem is that there are expected gender roles at all, on either side. This is a problem which is centuries old, and each side keeps trying to "redress the balance", which then looks like it's saying one sex is better than the other. Lots of people misinterpret "feminism" as "women are better". One possible reason for men wanting to be women is a backlash against "feminism", with the thinking "if you can't beat them, join them".
It's been known for people to say "things will never be equal until men start having babies". And now, lo and behold, men are having babies! After a bit of tweaking the definition of "man", that is. Science can make so much progress just by stealthily changing the meanings of a few words; every politician knows this.