Let me preface by saying I switched from the iPhone 6 Plus to the Note 4(Verizon).
The battery life has been very underwhelming, especially on standby. When I had the 6+, I could leave it on a fully charged overnight and wake up with 100%, if I do the same with the Note 4 I lose 5-10%. In general, I lose 1-3% an hour in battery if I don't even use my Note 4. I tried all the suggestion in this thread to assist with battery life and it's helped a little(turning off "Always allow scanning" in WiFi has helped the most), but I find it pretty lame you would have to do so much tweaking just to improve your battery life.
The most frustrating thing is watching a 5ish minute youtube clip drains 5% in battery, that's iPhone 5 territory.
I did switch to Nova Launcher since I hated Touchwiz taking up so much RAM, don't know if that might be having a negative effect on the battery life.
The Note 4 is significantly better than the 6+ IMO, I've only had it for 3 days so I hope it's just an issue of the battery having to cycle through rather than this being the long-term battery life expectancy.