Take any Android phone, uninstall all messaging apps, disable all other forms of background transfers and sync (increasingly hard to do as Google adds more and more of their services to the OS).
Enjoy your 3 to 4 day battery life.
You said active use, but this phone doesn't have any active uses, by design.
Standby time on modern smart phones isn't half bad, if you get rid of everything that wakes up the device!