This is what I would get if I were you. I just built a similar computer but ended up going with the Gigabyte R9 280 3GB Windforce last minute instead of the vapor x R9 270x because it was the same price.. my card was bad and a replacement card is on the way to my house now though
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[PCPartPicker part list](http://pcpartpicker.com/p/2hbNsY) / [Price breakdown by merchant](http://pcpartpicker.com/p/2hbNsY/by_merchant/)
Type|Item|Price
:----|:----|:----
**CPU** | [Intel Core i5-4590 3.3GHz Quad-Core Processor](http://pcpartpicker.com/part/intel-cpu-bx80646i54590) | $189.98 @ NCIX US
**Motherboard** | [ASRock H97 PRO4 ATX LGA1150 Motherboard](http://pcpartpicker.com/part/asrock-motherboard-h97pro4) | $88.98 @ SuperBiiz
**Memory** | [G.Skill Ripjaws X Series 8GB (2 x 4GB) DDR3-1600 Memory](http://pcpartpicker.com/part/gskill-memory-f312800cl9d8gbxl) | $72.00 @ Newegg
**Storage** | [Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive](http://pcpartpicker.com/part/western-digital-internal-hard-drive-wd10ezex) | $54.99 @ Amazon
**Video Card** | [Sapphire Radeon R9 270X 2GB Dual-X Video Card](http://pcpartpicker.com/part/sapphire-video-card-100364l) | $168.60 @ Newegg
**Case** | [Rosewill Line Glow ATX Mid Tower Case](http://pcpartpicker.com/part/rosewill-case-lineglow) | $51.97 @ Amazon
**Power Supply** | [XFX 650W 80+ Bronze Certified ATX Power Supply](http://pcpartpicker.com/part/xfx-power-supply-p1650snlb9) | $49.99 @ NCIX US
**Optical Drive** | [Lite-On iHAS124-14 DVD/CD Writer](http://pcpartpicker.com/part/lite-on-optical-drive-ihas12414) | $12.99 @ Newegg
| | **Total**
| Prices include shipping, taxes, and discounts when available | $689.50
| Generated by PCPartPicker 2014-10-01 23:13 EDT-0400 |
It's a little bit over you $600 original budget, but you did say you were a little bit flexible.. and I say go with the i5, I hear so many good things about it being THE CPU for gaming these days. 4 cores is all you need.
You could always change up the case, and GPU as well if you wanted. The R9 285 and the new Nvidia cards have come out since I built mine, but the 270x is adequate for anything 1080, and especially the games you stated.. I want to add a SSD eventually as well, and if you can afford to add it I would, but again is not needed.