The newest animation is excellent. I can tell you put a lot of effort into it.
The effects were quite nice. The blood effects were awesome and the beam effect was animated very well.
From what I could tell, you mainly need to use some easing in your animations. For example, whenever the red character took his hand off his sword and put his hand down at his side, it just stopped suddenly. One frame it was moving fast and largely, then the next there's no movement at all.
Think of a car. You know how a car has to pick up speed for before it can go 50 mph? It also has to slow down before it can come to a complete stop. This looks believable to people because it's obeying the laws of physics. Having things suddenly stop and start breaks the illusion completely.
Speeding up/slowing down is also known as easing. Apply it in your animations and I guarantee you'll see a huge improvement. :)