Katniss Everdeen from Catching Fire (movie version, I only read the first book).
Contrary to how I remembered in the first book, Katniss is constantly the least capable person she's with. Sure, she can shoot arrows at mooks, but the second there's some real sense of danger... she screams and cries, and someone else comes in to solve the problem for her. Every other person in the group had a considerable deal more emotional and physical fortitude than she did, which I find depressing because I actually liked her character in the first book. In the movie she's just a run of the mill incompetent female character who shoots arrows at people sometimes
Okay, I gave a real answer, now I'm going to use this thread as an excuse to vent about an absolutely incompetently written protagonist. I'm playing through Front Mission 3 right now, and oh my god is Kazuki the worst written main character I've ever seen. It seems like all he does is just randomly yell at people to take things seriously, and shut up, any time they try to make a situation lighter and, you know, add some interest to the dialogue. He's by far the worst hot headed main character I've ever seen, because the only expression of his character is anger and seriousness, his sole duty is to make the story less fun.
The writing as a whole kind of sucks though, on top of being ridiculously sexist. There's two strong and confident female characters in the game. One is a joke because she's "butch" (ie: she looks like the average female soldier would), and the other one's strength is a complete facade because despite everything she's accomplished, she just wants somebody to protect her. In fact, through some absurd logical jump, everything she does is with the hope that it will make someone protect her.
Err... rant over. Carry on