A strong female character in fiction is often seen as a set personality - cold, vicious, doesn't take any BS type of girl. But why?
Characters that set out to achieve something and actually achieve that something are a lot more interesting and very inspiring. Also, this is an important trait to show in role models for little kids.
Katniss Everdeen, the main character, is introduced as a sixteen-year-old hard working, family loving, tough girl who is determined to do her best to stay alive and keep her sister safe. When her sister Prim is reaped for the Hunger Games, Katniss volunteers the second she remembers she can. In the beginning, Katniss is characterized mainly by a will to live and that dying love for her sister, even scorning Gale's and Peeta's rebellious speeches.
SPOILER ALERT! Recently, I watched the new Disney movie Moana, and I absolutely loved it. The movie has a lot going for it - a strong female character, no yucky love story, and a plot twist that even my I've-been-watching-these-movies-for-fifty-years mom couldn't predict. The soundtrack was amazing, and the actual songs? They were the perfect blend of character development and plot advancement.