Is this a good first build for running next gen games?

PCPartPicker part list: http://pcpartpicker.com/p/3cffg
Price breakdown by merchant: http://pcpartpicker.com/p/3cffg/by_merchant/
Benchmarks: http://pcpartpicker.com/p/3cffg/benchmarks/

CPU: AMD FX-6300 3.5GHz 6-Core Processor ($109.99 @ Amazon)
Motherboard: Gigabyte GA-970A-UD3 ATX AM3+ Motherboard ($99.98 @ SuperBiiz)
Memory: G.Skill Ripjaws X Series 8GB (2 x 4GB) DDR3-1600 Memory ($69.99 @ Newegg)
Storage: Seagate Barracuda 1TB 3.5" 7200RPM Internal Hard Drive ($54.98 @ OutletPC)
Video Card: EVGA GeForce GTX 760 2GB Video Card ($249.99 @ Newegg)
Case: Corsair 300R ATX Mid Tower Case ($59.99 @ Micro Center)
Power Supply: XFX 550W 80+ Bronze Certified ATX Power Supply ($49.99 @ NCIX US)
Optical Drive: Samsung SH-224DB/BEBE DVD/CD Writer ($15.98 @ OutletPC)
Operating System: Microsoft Windows 8.1 (OEM) (64-bit) ($99.98 @ OutletPC)
Keyboard: Logitech MK120 Wired Slim Keyboard w/Optical Mouse ($14.18 @ B&H)
Headphones: Logitech H110 Headset ($8.73 @ Amazon)
Total: $833.78
(Prices include shipping, taxes, and discounts when available.)
(Generated by PCPartPicker 2014-03-18 18:06 EDT-0400)

couple things i have changed...i changed the mother board because this gigabyte board has better phasing for overclocking
https://spreadsheets.google.com/spreadsheet/pub?key=0AgN1D79Joo7tdE9xMUFlMEVWeFhuckJEVF9aMmtpUFE&gid=3

i changed the psu to a more reliable psu that costs 10 dollars more

i know you cant spend the extra 10 dollars but i would wait to save up because you dont want to overclock with a mediocre psu and a motherboard with poor phasing this mobo doesnt support sli however

you will have to do some tweaking to get crysis 3 and bf4 to run on high/ultra equivalent settings @ 1080p
http://www.techpowerup.com/reviews/EVGA/GTX_760_SC_ACX_Cooler/8.html

this build has a 990fx chipset and proper support for a 8 core 8320/8350 and supports sli for 12 dollars more
it will suit your needs better for an upgrade path. your current mobo has poor phasing especially if you plan on getting a 8 core vishera

PCPartPicker part list: http://pcpartpicker.com/p/3cfOA
Price breakdown by merchant: http://pcpartpicker.com/p/3cfOA/by_merchant/
Benchmarks: http://pcpartpicker.com/p/3cfOA/benchmarks/

CPU: AMD FX-6300 3.5GHz 6-Core Processor ($109.99 @ Amazon)
Motherboard: Gigabyte GA-990FXA-UD3 ATX AM3+ Motherboard ($114.99 @ Micro Center)
Memory: G.Skill Ripjaws X Series 8GB (2 x 4GB) DDR3-1600 Memory ($69.99 @ Newegg)
Storage: Western Digital RE3 1TB 3.5" 7200RPM Internal Hard Drive ($51.50 @ Amazon)
Video Card: MSI GeForce GTX 760 2GB Video Card ($239.99 @ Newegg)
Case: Corsair 300R ATX Mid Tower Case ($59.99 @ Micro Center)
Power Supply: XFX 550W 80+ Bronze Certified ATX Power Supply ($49.99 @ NCIX US)
Optical Drive: Samsung SH-224DB/BEBE DVD/CD Writer ($15.98 @ OutletPC)
Operating System: Microsoft Windows 8.1 (OEM) (64-bit) ($99.98 @ OutletPC)
Keyboard: Logitech MK120 Wired Slim Keyboard w/Optical Mouse ($14.18 @ B&H)
Headphones: Logitech H110 Headset ($8.73 @ Amazon)
Total: $835.31
(Prices include shipping, taxes, and discounts when available.)
(Generated by PCPartPicker 2014-03-18 18:23 EDT-0400)

Very good, but you will want a bigger psu for upgrades. That thing will now leave any power, and it won't last as long. Go for at least 550 watts. Also, the stock AMD cooler won't cut it. I added a fx-8320 for more future-resistance when games use more cores.

PCPartPicker part list: http://pcpartpicker.com/p/3cfv9
Price breakdown by merchant: http://pcpartpicker.com/p/3cfv9/by_merchant/
Benchmarks: http://pcpartpicker.com/p/3cfv9/benchmarks/

CPU: AMD FX-8320 3.5GHz 8-Core Processor ($152.98 @ SuperBiiz)
CPU Cooler: Cooler Master Hyper 212 EVO 82.9 CFM Sleeve Bearing CPU Cooler ($29.99 @ NCIX US)
Motherboard: ASRock 970 EXTREME4 ATX AM3+ Motherboard ($99.49 @ Newegg)
Memory: G.Skill Ripjaws X Series 8GB (2 x 4GB) DDR3-1600 Memory ($69.99 @ Newegg)
Storage: Seagate Barracuda 1TB 3.5" 7200RPM Internal Hard Drive ($54.98 @ OutletPC)
Video Card: EVGA GeForce GTX 760 2GB Video Card ($249.99 @ Newegg)
Case: Corsair 300R ATX Mid Tower Case ($59.99 @ Micro Center)
Power Supply: XFX TS 550W 80+ Bronze Certified ATX Power Supply ($59.99 @ Newegg)
Optical Drive: Samsung SH-224DB/BEBE DVD/CD Writer ($15.98 @ OutletPC)
Operating System: Microsoft Windows 8.1 (OEM) (64-bit) ($99.98 @ OutletPC)
Keyboard: Logitech MK120 Wired Slim Keyboard w/Optical Mouse ($14.18 @ B&H)
Headphones: Logitech H110 Headset ($8.73 @ Amazon)
Total: $916.27
(Prices include shipping, taxes, and discounts when available.)
(Generated by PCPartPicker 2014-03-18 18:14 EDT-0400)

It would be a little optimistic to run Crysis 3 well with this system. A GTX 770 is going to have frame rates in the thirties for Cryisis 3. You have to get in GTX 780 territory to run Crysis 3 with good frame rates on max settings. It will play many games well, but you may have to lower the settings on some.

I have attached the Crysis 3 website, see system requirements:
http://www.crysis.com/us/pc