Okay, so, it's like this.
Absorbing kinetic energy is what all armor does. That's what makes it armor in the first place, it absorbs the energy so you don't have to. It does this by deforming, breaking, etc. It also usually distributes the energy over a larger area than the incoming projectile or blow would.
As for the sci-fi style, that's... probably impossible. Kinetic energy isn't, strictly speaking, real, because velocity is relative, and kinetic energy is a function of velocity, so kinetic energy is relative, so whether or not it's present depends on your frame of reference. So ideals like "kinetic shields" or "directed energy flow" are probably bunk, because there's no real, tangible thing to block or move around.
What you can do is develop materials that do the traditional applications much better. Special non-newtonian fluids can distribute force very efficiently, for instance, and after deforming (again, thereby absorbing the energy) can flow back into their original shape.