There is no i5-6500K. Do you mean i5-6500 or i5-6600K? Also you'd need to list which games you plan on playing and at what resolution to determine which GPU to purchase.
Here's one option a bit over the $600 mark with an i5-6500 and a gtx 1060 3gb
PCPartPicker part list:
http://pcpartpicker.com/list/D2pRVY
Price breakdown by merchant: http://pcpartpicker.com/list/D2pRVY/by_merchant/
CPU: Intel Core i5-6500 3.2GHz Quad-Core Processor ($204.99 @ Newegg)
Motherboard: Gigabyte GA-H110M-A Micro ATX LGA1151 Motherboard ($44.99 @ Amazon)
Memory: G.Skill Ripjaws V Series 8GB (1 x 8GB) DDR4-2400 Memory ($36.99 @ Newegg)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($45.71 @ OutletPC)
Video Card: EVGA GeForce GTX 1060 3GB 3GB GAMING Video Card ($199.99 @ SuperBiiz)
Case: Corsair Air 240 MicroATX Mid Tower Case ($74.99 @ Newegg)
Power Supply: EVGA 500W 80+ Bronze Certified ATX Power Supply ($43.33 @ OutletPC)
Total: $640.00
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2016-09-28 09:16 EDT-0400
Here's another option - i3-6100 with better GPU:
PCPartPicker part list:
http://pcpartpicker.com/list/CnZHWX
Price breakdown by merchant: http://pcpartpicker.com/list/CnZHWX/by_merchant/
CPU: Intel Core i3-6100 3.7GHz Dual-Core Processor ($110.99 @ SuperBiiz)
Motherboard: Gigabyte GA-H110M-A Micro ATX LGA1151 Motherboard ($44.99 @ Amazon)
Memory: G.Skill Ripjaws V Series 8GB (1 x 8GB) DDR4-2400 Memory ($36.99 @ Newegg)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($45.71 @ OutletPC)
Video Card: Gigabyte GeForce GTX 1060 6GB 6GB WINDFORCE OC 6G Video Card ($249.00 @ Amazon)
Case: Corsair Air 240 MicroATX Mid Tower Case ($74.99 @ Newegg)
Power Supply: EVGA 500W 80+ Bronze Certified ATX Power Supply ($43.33 @ OutletPC)
Total: $606.00
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2016-09-28 09:21 EDT-0400