Camera isn't the only thing that matters to me. I forgot to mention that I like the premium feel of the One over the GS4. But, for the camera, from my own tests that I did, it was better than the GS4. Others may have a different opinion.
I dismiss the iPhone because the "64-Bit" is just something to draw more customers in. In real world average usage, it won't make that much of a difference. The 5S is not faster than the G2 I have sitting right beside me. The processor on the iPhone 5S only runs at 1.3GHz.
Source. The G2, Nexus 5, and Note 3 all have a 2.26GHz quad core Snapdragon 800. The A7 would struggle running Android. 1GB RAM in it paired with a dual core 1.3GHz would be like running a Galaxy Nexus. It would suck. Android phones blow the iPhone out of the water with specs. iOS works on the devices it's made for because the OS is made around that certain device. Having the same specs on an Android phone as the Nexus device will mean you will have no problems.
Regardless of the GHz and the number of cores, the iPhone produces the better benchmarks. I've owned various devices and always run them through Geekbench 3 (the only cross platform one I have). Here are the scored I obtained (my method involves closing all running apps, a "pre-score" that I throw out, then averaging three geekbench scores to come up with this):
Phone - Single Core / Multiple Cores
Note 3 - 922 / 2801 (from website)
iPhone 5S - 1393 / 2507
Nexus 5 - 863 / 2268
LG G2 - 836 / 2172 (from website)
Galaxy S4 - 685 / 1818
HTC One - 586 / 1743 (from website)
iPhone 5C - 705 / 1218
So even in the multi-core score, the iPhone 5S beats out quad core phones. That's fine for you if you prefer having a phone with larger numbers at the GHz and Core spot - I prefer what that processor is ACTUALLY capable of.
I just find it hilarious you dismiss the iPhone because Android isn't optimized enough to run smoothly on "lesser" hardware (even though it isn't totally the case). Just say you don't like iOS devices and leave them out.
Other than RAM and display size, the iPhone is at the top as far as "specs" go in that it has longer battery life than most of the phones you listed, better sRGB color reproduction, better camera, faster processor (in terms of actual output) and a highly optimized OS.
Again - if you don't like iOS, that's fine - don't list it. But be honest about it. Don't hide behind a "spec sheet".
EDIT: Honestly - given the way Google is going with Project Svelte and 4.4, I'd betcha the 5S would run Android (at least KitKat) just fine without any problems. Heck - Motorola proved a dual core processor could run a smooth Android OS with the Moto X. All I've ever heard about that phone is that its super smooth.