Which System is Best

The AMD is a better gamer right out of the box , but its getting to be an end of life product with new processors next year . And DDR3 is rapidly being replaced by DDR4
The intel build is a mismatch between mb and and processor since the board cannot OC .

I suggest something like this
PCPartPicker part list / Price breakdown by merchant

CPU: Intel Core i5-6500 3.2GHz Quad-Core Processor ($259.22 @ Vuugo)
Motherboard: Gigabyte GA-Z170MX-Gaming 5 Micro ATX LGA1151 Motherboard ($153.98 @ Newegg Canada)
Memory: G.Skill Ripjaws V Series 8GB (2 x 4GB) DDR4-2400 Memory ($62.65 @ DirectCanada)
Storage: Corsair Force LS 120GB 2.5" Solid State Drive ($64.99 @ NCIX)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($58.98 @ DirectCanada)
Video Card: MSI GeForce GTX 960 4GB Video Card ($308.95 @ Vuugo)
Case: Antec P50 MicroATX Mini Tower Case ($77.00 @ shopRBC)
Power Supply: EVGA SuperNOVA NEX 650W 80+ Gold Certified Fully-Modular ATX Power Supply ($114.98 @ Newegg Canada)
Operating System: Microsoft Windows 10 Home OEM (64-bit) ($122.00 @ shopRBC)
Other: Taxes ($158.00)
Total: $1380.75
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2015-12-23 06:53 EST-0500

The latest tech from intel and you can upgrade over time . Small case and mb .
 
Is it for games? you should mix both.

PCPartPicker part list / Price breakdown by merchant

CPU: Intel Core i5-6500 3.2GHz Quad-Core Processor ($259.22 @ Vuugo)
Motherboard: Gigabyte GA-H170M-D3H Micro ATX LGA1151 Motherboard ($110.50 @ Vuugo)
Memory: G.Skill Ripjaws V Series 16GB (2 x 8GB) DDR4-2133 Memory ($109.98 @ DirectCanada)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($58.98 @ DirectCanada)
Video Card: Asus Radeon R9 380X 4GB Video Card ($319.98 @ DirectCanada)
Case: Deepcool TESSERACT SW ATX Mid Tower Case ($65.00)
Power Supply: EVGA 750W 80+ Bronze Certified Semi-Modular ATX Power Supply ($114.75 @ Vuugo)
Optical Drive: Asus DRW-24F1ST DVD/CD Writer ($19.05 @ Amazon Canada)
Operating System: Microsoft Windows 10 Home OEM (64-bit) ($122.00 @ shopRBC)
Keyboard: Cobra Mazer Type-X Wired Gaming Keyboard ($32.99 @ Canada Computers)
Other: taxes 13% ($149.24)
Total: $1361.69
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2015-12-23 06:56 EST-0500

Your last rig costs Total: $1425.86. So this is another good option for less than that.
GTX970 is really good for 1080p gaming. Its totally worth a few bucks more.

PCPartPicker part list / Price breakdown by merchant

CPU: Intel Core i5-6500 3.2GHz Quad-Core Processor ($259.22 @ Vuugo)
Motherboard: Asus H110M-A Micro ATX LGA1151 Motherboard ($83.66 @ shopRBC)
Memory: G.Skill Ripjaws V Series 16GB (2 x 8GB) DDR4-2133 Memory ($109.98 @ DirectCanada)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($58.98 @ DirectCanada)
Video Card: Zotac GeForce GTX 970 4GB Video Card ($413.50 @ Vuugo)
Case: Deepcool TESSERACT SW ATX Mid Tower Case ($65.00)
Power Supply: Antec Basiq Plus 550W 80+ Certified Semi-Modular ATX Power Supply ($73.00 @ shopRBC)
Optical Drive: Asus DRW-24F1ST DVD/CD Writer ($19.05 @ Amazon Canada)
Operating System: Microsoft Windows 10 Home OEM (64-bit) ($122.00 @ shopRBC)
Keyboard: Cobra Mazer Type-X Wired Gaming Keyboard ($32.99 @ Canada Computers)
Other: taxes 13% ($149.24)
Total: $1386.62
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2015-12-23 06:59 EST-0500

 

maxalge

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neither:

PCPartPicker part list / Price breakdown by merchant

CPU: Intel Core i5-6600K 3.5GHz Quad-Core Processor ($351.22 @ Vuugo)
CPU Cooler: Cooler Master Hyper 212 EVO 82.9 CFM Sleeve Bearing CPU Cooler ($27.22 @ Vuugo)
Motherboard: Gigabyte GA-Z170-HD3P ATX LGA1151 Motherboard ($149.98 @ Newegg Canada)
Memory: Corsair Vengeance LPX 8GB (2 x 4GB) DDR4-2400 Memory ($72.61 @ DirectCanada)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($58.98 @ DirectCanada)
Video Card: Gigabyte Radeon R9 390 8GB Video Card ($389.99 @ NCIX)
Case: Antec One ATX Mid Tower Case ($55.98 @ NCIX)
Power Supply: EVGA 750W 80+ Bronze Certified Semi-Modular ATX Power Supply ($94.98 @ NCIX)
Operating System: Microsoft Windows 10 Home OEM (64-bit) ($122.00 @ shopRBC)
Total: $1322.96
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2015-12-23 07:02 EST-0500
 


I think OP has to pay 13% taxes over there...
 
PCPartPicker part list / Price breakdown by merchant

CPU: Intel Core i5-6500 3.2GHz Quad-Core Processor ($259.22 @ Vuugo)
CPU Cooler: Cooler Master Hyper 212 EVO 82.9 CFM Sleeve Bearing CPU Cooler ($27.22 @ Vuugo)
Motherboard: ASRock Z170 Pro4 ATX LGA1151 Motherboard ($152.75 @ Vuugo)
Memory: Corsair Vengeance LPX 8GB (2 x 4GB) DDR4-2400 Memory ($71.88 @ DirectCanada)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($58.98 @ DirectCanada)
Video Card: Gigabyte Radeon R9 390 8GB Video Card ($389.99 @ NCIX)
Case: Antec One ATX Mid Tower Case ($55.98 @ NCIX)
Power Supply: EVGA 750W 80+ Bronze Certified Semi-Modular ATX Power Supply ($94.98 @ NCIX)
Operating System: Microsoft Windows 10 Home OEM (64-bit) ($122.00 @ shopRBC)
Total: $1233.00
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2015-12-23 17:11 EST-0500

You can OC the i5 even though you don't have a unlocked CPU.