I am quite a fan of the simple character design.
There seemed something fishy about the run animation, a bit like Charlie Chaplin walking.
I suggest not raising the back leg so high, at least not so soon in the run animation.
Also, according to
http://www.youtube.com/watch?v=tJWPwVF30yo there are two different gaits for running, and the short-step gait (called gliding in the video) has obviously better maneuverability than sprinting. However it looks much less flashy, so I would not suggest going that far with realism. Though maybe the highest foot position is still bit too high.
While the leg is back, I think the girl should have at least a little bit of butt.
And a thought about slashing animation. If the movement comes from the legs, then other movement like hand being pulled forward, would work more like the body pulls the hand forward with the same force as the hand pulls body backward.
Did a few frames of slashing. If the weapon is not heavy, like a lightsaber, and it is just the weight of the hand that is moving forward, then I probably overdid it a bit.