HTC Desire EYE ($350)
This is a bit more affordable, and you get a 5.2-inch screen for your buck. The resolution is the same as with the iPhone 6 Plus. And with the memory card factored in, you can get up to 128 GB of storage space. All this is great from a games perspective, and the only big negative point is the rather awkward, unwieldy size and shape.
The Note 4 is an excellent gaming phone. I haven't found the weight to be an issue, but then again I don't spend hours holding my phone lol