Droid Maxx or HTC One
I've had both and settled with the Maxx. The HTC One is a beautiful phone but seemed dainty to me. Battery life was so-so, and I like to use GPS for hiking and biking apps. I also use the navigation a fair amount each day. The display was excellent, but no brighter in sunlight than the Maxx.
With the Maxx, I turn on GPS, WiFi, 4g, Bluetooth, set the display to brightest and let it burn. I always have 50% battery at the end of the day. The One has a better pedigree, such at resolution and processor speed, but is not noticeably faster, and I get a lot of compliments about the display with the Maxx...its brilliant with absolutely no visible pixelation! The OS/UI is clean, and not layered over like the HTC. Not only does the Maxx have the largest battery, but all those selling points about the One eat a lot of juice. My call quality is second to none, at both ends, and on Bluetooth. Google Now is a great feature that allows me to initiate searches and commands without touching the phone,,,,unlike Siri and Google Voice Commands, which require you to open the app to give commands. The camera on the Maxx is reported to be so-so, but the only phone I know of that actually takes better pictures, is the iPhone. My Maxx is 4 months old now, and I still wouldn't trade it for any phone, from any carrier.