I try to be egalitarian with writing. I have both male and female protagonists, though they are more likely to be male. Villains are equally likely to be male or female. My female villains are usually a lot more powerful and dangerous than my male villains, since I tend to find female villains underappreciated.
The funny thing is, my male protagonists tend to be shy and sensitive, while my female protagonists tend to be the brave, strong-willed ones. Read my fanfic Pokemon X and Y: Dawn of a New Era - Calem is the quiet and reserved one while Serena is the more competitive one. Also, Serena usually manages to defeat Calem. Even though Calem gets slightly more focus out of battle, Serena gets more focus in battle.
In all of my works, the sensitive guy gets the girl, whereas the macho meathead never does. It's to make a point about people valuing machismo over character in men and how that idea is wrong. I also tend to make female protagonists more abrasive, though usually it's to their advantage, since I'd rather have a female protagonist with flaws than a goody two-shoes.
Many people accuse fairy tales of being male chauvinistic works, but there are plenty of exceptions. Madame d'Aulnoy, the inventor of the term fairy tale, wrote many stories with active female leads. In fact, her passive, submissive female leads, such as Toutebelle in The Yellow Dwarf and Merveilleuse in The Ram, generally do not get happy endings (Toutebelle ends up dead, and Merveilleuse ends up with a broken heart), while her more active female leads, such as Belle-Belle, Princess Mayblossom, Florine in The Blue Bird, and Aimee in The Bee and the Orange Tree, always get happy endings. There are a few exceptions, like Graciosa in Graciosa and Percinet and Desiree in The White Doe, who aren't that active but do get happy endings. (Then again, Desiree couldn't be active for her first fifteen years as to protect her from the curse that was bestowed upon her.) But overall, d'Aulnoy's works avert the "Vasquez always dies" trope that plagues media. Belle-Belle even disguises herself as a man and gets to marry the king who she fell in love with!
Merveilleuse is actually the name of one of my villains for a planned fanfic. She is probably the worst villain I created for any fanfic in terms of how evil she is. She is an evil team leader who runs it like a royal court - and a cult. She also makes a serious attempt on Calem and Serena's lives (though she fails and the two are spared). She's the head of an evil team - she's got seven daughters to help her, all named after various d'Aulnoy princesses - Toutebelle, Florine, Aimee, Desiree, Fortunee, Rosette, and Belle-Etoile (and each one wields an Eeveelution). I might talk about that more later.