After reviewing a few more of the animations, it looks like there's some more things that need to be taken into consideration. His punch frames looks rather stiff and unmoving. A good, hard punch is going to have some upper body rotation, and will involve movement of both the shoulder and elbow, as well as through the hips and legs. Right now, it seems a little robotic, and half hearted on his effort.
For the run, the arms should alternate with the legs. Left leg forward, left arm back. Right leg forward, right arm back. Right now he seems a little awkward.
Other than looking a little stiff, I see nothing too out of place with the jump.
Nice little jazzy background music, and he's going with the flow!