Women can be anything men can be. (But that's not the be-all, end-all of what they can be. Women can be anything they want, without comparison to men.) Sure, they can be attractive, and there's nothing wrong with that. They can also be smart, funny, strong, cool, and any number of other traits (both good and bad), in any number of combinations. (Like, c'mon... no one has to be just one thing.) No one, man, woman, or other, should feel any particular need to be badass, but this particular list is about badasses (which basically means a combination of tough and cool, among other things). They can be characters from TV, movies, books, comics, whatever. They can be live-action or animated, serious or comical, heroes or villains. They can be the lead, or part of a team, or a guest/recurring character.
The list will be far from complete, but hopefully I'll add to it often. (It will probably just include characters from things I've seen or read, so there will be a lot out there that I may be aware of, but not directly familiar with, who don't make the list... yet.)
Comic books
Oh, damn. Like, so many. You will have noticed by now that I've listed some characters who originated in comic books in specific shows or movies, instead, if there's one thing I know them best from. But there are so many other characters who I might not even be able to choose just one incarnation, because I've seen them in so many different shows and movies and whatnot. So, here, just check Wikipedia's lists of superheroines and female supervillains, okay?