Mines just a normal RAZR HD. I'm not in an LTE area like you so I stay on 3G and throttle up to H+ when its transferring data.
I don't game much; my heaviest game is Angry Birds Star Wars which I don't use much so usualy its just Words With Friends.
I don't use it often for phone calls but I do use it. I'm a guy so I'm not talking for hours and hours.
I always get a full day out of it, and by full day I mean 16 hours or therabouts, until I put it to recharge while I sleep.
I'm not using anything to save battery.
I run Apex Launcher opposed to stock.
I run Tasker and have it looking for cable plugged in, orientation, change in wifi connection (nothing major, just gets the SSID and MAC and stores them as variables), and have it looking for screen unlocked and Display off (for ADB toggle).
In the background I'm running NG call recorder, LMT, WhatsApp, Lookout, LocateMyDroid, Words With Friends, TEAM battery bar Pro, Go SMS
Pro, Calengoo, BetterBatteryStats, ModemFastdormancyMonitor, SmartCardService, Google Services, Google Play, and Notification Toggle.
I sync Gmail and Contacts.
I have frozen Acoustic Warning, Audio Effects, Calendar, Calendar Storage, Email, Facebook stays frozen but unfreezes and runs with GPS off when I run a script but I don't use it much and the same for Maps but GPS on obviously (Maps made a differance for me and needed to be refrozen on every boot as well as the ROM seems to unfreeze it at boot time), Google Caledar Sync, Google Play Books/Movies/Music, Google+, Homescreen (default launcer), Moto Chinese Input, Moto English... infact almost everything starting with "moto or Moto is frozen", Quickview, All of Smart Actions, Swype, and Telstra One (specific to my ROM). Of everything frozen, the only things that I think make a significant impact are the way I have Maps and Facebook handled, that they stay frozen and then are called by a script that unfreezes and runs them and refreezes them on exit.
The Motocare may make a differance however I think its something that's needed to see when you have updates.
This list is very specific to my ROM as I'm on Telstra Austrlia which is (so I've gathered) one of the most bloat free ROMs, and freezing is always going to be carrier specific from what I've read about the phone from other people's carriers.
In adition to the freezing, I've stopped heaps of stuff in Autostarts. I don't reccomend messing with this as its easy to get lost and forget your settings. There is no undo or restore to default, so if you get lost then you're only sure fire way is a factory reset. If you feel safe using it though, then its worth having a look through what's starting up (start with just the stuff after boot) and disabling things that aren't needed. There's heaps of apps that run that really don't need to; non system apps I mean. If you get comfortable with it then the next greatest place they like to start up is when new apps are installed or old ones updated but there needs to be some care taken here as some apps do need to know this while others are just spying and wasting resources while doing so. If in doubt, just don't mess with it at all as there's no "set back to default" option.
I don't use Juice Defender, that's something that stuck out at me, is that I don't know how its being used in one of the posts stated above, but in the case of my ROM, the power management seems to be as good as I'm going to get it on its own. Toggling wifi in particular is something that I tried out with Tasker and it was better to leave it alone. I did try an app... I can't find it now but apparently I didn't back it up before uninstall. Its the beta app made by the chip manufacturer that runs in our phones (or so I read anyway) and it spent time in the background collecting data then tried to optimise power management. I think it was okay but I didn't see anything significant. I was hoping it would end the wakelocks that turn the wifi on but it ended up just leaving my wifi on most of the time and then turning it off when I actually was at home, and I couldn't manually turn it on and get a connection. It may be quite helpful for others though... Its the same thing for Juice Defender; I reckon that the way I would use it would be less helpful because of the wifi handling. I've gathered that wifi doesn't so much turn off but just goes into a power friendly state, and that a full toggle on and off takes more power so I ended up leaving that alone entirely. For people with other power issues, for example I stated that I don't use LTE or 4g in my area, then perhaps it could be useful... I can't give advice on that.
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...but to answer your question, that's how I use my phone and I get at least 6 hours screen time in a 16 hour day. In fact I always get that much (assuming its used that much) and usually more if I need it. I have battery left over but it does admitadly go down quickly after it reaches a point. I would be dissapointed if I got less. I came from the S2 with the Samsung extendable battery (just under %20 more juice than out of the box) and would get 4 or 5 hours on that before it was dead. I think that you have a genuine frustration on your hands, but that you should deal with it slowly and one step at a time, and that the first step is diagnosis and if it were me I would start by switching it to 3g/2g and seeing how that goes for a few days... let it settle in like that and see if it makes any differance after at least a few days later and a few charges of the battery.
By the way, Location services work fine with maps frozen. Another thing I neglected to mention is that I don't use Google Now. All of my apps that use fine or course location work fine (Google ones and third party) with Maps frozen.
Oh... One more edit; I also have DroidWall or some other equivalent firewall installed. I forget which one at the moment but if you use one, make sure it simply is a front end to iptables as there's almost zero resources used in this fashion. As I don't have 4G in my area, I don't know what is best suited for that. Mine is very simple and has a checkbox for wifi and for data, however it makes a lot of sense that a lot of these firewalls may not be updated to be detecting the interface that 4G is running on. This doesn't make a huge difference on my phone and I don't think I would notice any battery savings if I didn't have it but it may be of help if you were hell bent on using 4G, as its supposed to be power hungry, because you can prevent a lot of apps from making a connection to report the crap they discover (Contacts, numbers dialed, etc) and block ads in some games that don't otherwise need the internet to be played. At the same time, I'm honestly not sure if the results would be good or bad... for example if an app persistently tries to make a connection and isn't programmed to give up when the connection is timed out then that would be bad. I still thought I'd throw it in there. It would actually be one of the last additions I'd make to my phone after being finally satisfied with the power management. Its also something that you need to be aware of, for example if you can't play a game or use an app, it can cause you (me) to uninstall and reinstall only to find that I had firewalled it when it needed to have a connection. Some apps need to connect to check the validity of their licence as well and you just need to be aware and enable it when it shows up.