I don't care what smartphone you are using (iPhone, Galaxy, Nexus, HTC...whatever) if 82% of the battery used was used by the screen your charge is not going to last more than 3 or 4 hours. The screen is by far the largest consumer of battery. If you're watching a full length movie from start to finish then you're using a lot of battery to "drive" that screen. It would be interesting to know how long (hours/mins) the phone reports the screen was on. You can determine that by long pressing the "Screen" item in the battery display screen (like the one you posted) and it will tell you how long the screen was on.
We all tend to forget that a smartphone is a phone first, that's its intended mission. A gaming device or a small movie screen are perks. My RAZR was only good for about 3 hours of screen time (used a few minutes at a time) about 2 hours of continued use.