Which Would be Better for PC Gaming?

Solution
Here is the best of both builds with a 280x gpu.
The 280x used to be a little cheaper but are now more expensive then a 960, if you want to save the $30 then going to a 960 should be very very minimal performance difference.

EDITED:
The GTX-960 can not use the 4gb VRAM, only 3.5 so the difference in ram is not really a factor.
The 4GB GTX-960 models are within $10 of the GTX-960 4GB models

PCPartPicker part list / Price breakdown by merchant

CPU: Intel Core i5-4460 3.2GHz Quad-Core Processor ($166.95 @ SuperBiiz)
Motherboard: Gigabyte GA-B85M-GAMING 3 Micro ATX LGA1150 Motherboard ($54.45 @ OutletPC)
Memory: G.Skill Ripjaws X Series 8GB (2 x 4GB) DDR3-1600 Memory ($48.99 @...


So you reduced his CPU performance, gave him 8 more GB of ram that his games wont use at all, and gave him a CX series PSU that is likely to fail in a year running something as demanding as a GTX-960.


@OP In most games the 280x is a slightly better GPU over the 960. So I would get your first build but change to a 280x.
Now if you are running photoshop, or any rendering or encoding software, many of these are coded to utilize the cuda cores in NVIDIA GPUs so the 960 would actually be better in this instance

 
Here is the best of both builds with a 280x gpu.
The 280x used to be a little cheaper but are now more expensive then a 960, if you want to save the $30 then going to a 960 should be very very minimal performance difference.

EDITED:
The GTX-960 can not use the 4gb VRAM, only 3.5 so the difference in ram is not really a factor.
The 4GB GTX-960 models are within $10 of the GTX-960 4GB models

PCPartPicker part list / Price breakdown by merchant

CPU: Intel Core i5-4460 3.2GHz Quad-Core Processor ($166.95 @ SuperBiiz)
Motherboard: Gigabyte GA-B85M-GAMING 3 Micro ATX LGA1150 Motherboard ($54.45 @ OutletPC)
Memory: G.Skill Ripjaws X Series 8GB (2 x 4GB) DDR3-1600 Memory ($48.99 @ Newegg)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($50.89 @ OutletPC)
Video Card: XFX Radeon R9 280X 3GB Black Edition Double Dissipation Video Card ($230.00 @ Amazon)
Case: Corsair SPEC-01 RED ATX Mid Tower Case ($47.99 @ Micro Center)
Power Supply: Rosewill Capstone 550W 80+ Gold Certified ATX Power Supply ($49.99 @ Newegg)
Optical Drive: LG GH24NSC0B DVD/CD Writer ($12.99 @ Newegg)
Total: $662.25
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2015-07-06 13:03 EDT-0400
 
Solution

toot12311

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May 28, 2015
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http://www.realhardtechx.com/index_archivos/Page362.htm 960 only needs 430w dip shit. I was just showing him a starting point to a build I had already gave someone earlier. 16gb of ram is for future purposes.
 
Yes it only needs 430w, but that is still enough of a load on the weak CX series capacitors to cause pre-mature failure within a year or so.
If he was doing an office PC with integrated graphics or a GTX-750 powered off of motherboard bus then sure, no worries with a CX series PSU.

You did not specify that it was a "starting point" or anything else, you just put your link up and said absolutely nothing. Thus I could only assume that the link was your absolute recommendation.