I have found the battery life to be about 25% more than my S3. It was bad at first but after turning off the bloatware from VZW and making some changes, it is fantastic for a smartphone with a 5.1 inch Super AMOLED display. If it helps, this is my settings that gives me 24 hours of moderate use easily:
Power saving mode on: I just have the GPU slow down enabled.
Auto Brightness with the bar set to just below 50%
Turned off all Verizon Apps and other junk not needed.
Use Fast Reboot Pro to stop all programs except those on my exclude list when locking and unlocking phone.
I have one 4x1 weather Widget (Fancy Widgets), and two other 1x1 widgets,
I leave Bluetooth and WIFI on all the time.
I have NFC, Tabs, one handed modem, keep screen on with eye contact, and most other features like that turned off;
I keep the GPS off which really helped my battery life.
I have the back arrow and menu button lights turn off after 1.5 seconds.
I have the screen turn off after 2 minutes but I manually lock it using the power button whenever I put it up or back into my pocket.
I use the fingerprint scanner during M-F when I an at clients all day but turn it off during the weekend.
I don't use live wallpapers. I use a app called Premium Wallpapers and choose a very nice looking background that is mainly silver, black, and white which makes it easy to see the icons.
I have no screensaver on. I use Alarm Clock plus where it shows the clock and alarm time but only when docked with it being charged.
I get very good life with this. I also don't install a ton of programs. I have about 10 games, 15 productivity software, 10 travel software, and maybe another 10 assorted programs on it. I am using less about 35% of the internal memory and have most of the games moved to the Micro SDCard.
You might want to try similar settings if you are not getting the battery life you want.
Dean