It needs to be something that will last long and be able to play all the games today fairly well. I'd prefer nvidea graphics only because amd burns out too much for me in the past and my nvidea have always lasted much longer.
Now that really depends on how you interpret the "last long" in OP original request. 3GB variants may be just 5% slower for the immediate titles, but can you say that it will "last long", in the sense that OP wouldn't need to replace it in the years ahead?
If the RX480 4 GB was an option, it would have been picked; another gigabyte of VRAM and better support of DX12/Vulkan would have it better positioned for the "last long" part, but that would have go against OP wish of no AMD.
Okay. Let's say going forward with the
MSI GTX 1060 3GB GAMING ~ $219-$20 rebate @ Newegg; comparing that to the current offer of
MSI GTX 1060 6GB GAMING X @ $269.99-$10 rebate @ B&H; you can save $60 going with the cheaper option, then what? What aspect that can and must be improved that you'd be willing to downgrade a component that has major effect on gaming performance and longevity of the build?
Spending the $ has to make sense, but choosing not to spend has to make sense also. Otherwise the exact same argument can also be used to exclude the SuperNOVA G2 for some cheap 400-500W Bronze, then the cheapest of Chinese plastic of a case from DIYPC/CiT/SAMA (same guy different name), then the cheapest H110 board so forth; and unlike the switch to the GTX1060 3GB, those are for components that would not or barely have any effect on performance.
Conclusion: Allow yourself the nice things of high-end hardware if you have the budget for it.
Being overly obsess with saving does not equal smart, it just means that you're cheap and the end result wouldn't be an "Amazing $900-$1000 gaming pc":
PCPartPicker part list /
Price breakdown by merchant
CPU: Intel Core i5-6500 3.2GHz Quad-Core Processor ($199.99 @ NCIX US)
Motherboard: MSI H110M Pro-VD Micro ATX LGA1151 Motherboard ($53.98 @ Newegg)
Memory: Corsair Vengeance LPX 16GB (2 x 8GB) DDR4-2133 Memory ($73.99 @ Newegg)
Storage: Crucial MX300 275GB 2.5" Solid State Drive ($69.95 @ SuperBiiz)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($49.99 @ B&H)
Video Card: MSI GeForce GTX 1060 3GB 3GB GAMING Video Card ($199.99 @ Newegg)
Case: Fractal Design Core 1000 USB 3.0 MicroATX Mid Tower Case ($24.99 @ SuperBiiz)
Power Supply: Corsair CXM 450W 80+ Bronze Certified Semi-Modular ATX Power Supply ($49.97 @ Newegg)
Operating System: Microsoft Windows 10 Home OEM 64-bit ($85.70 @ My Choice Software)
Total: $808.55
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2016-10-29 08:32 EDT-0400