First build what do you think.

Solution
This is a $1200 budget gaming build mate! You really should get a much stronger GTX970 gpu. You could get a cheaper but extremely efficient in games cpu setup and keep your original budget and features:

PCPartPicker part list / Price breakdown by merchant

CPU: Intel Core i5-4430 3.0GHz Quad-Core Processor ($169.99 @ Amazon)
Motherboard: Asus H81M-D PLUS Micro ATX LGA1150 Motherboard ($44.99 @ Newegg)
Memory: Team Vulcan 8GB (2 x 4GB) DDR3-1600 Memory ($77.99 @ Newegg)
Storage: Kingston SSDNow V300 Series 120GB 2.5" Solid State Drive ($58.99 @ NCIX US)
Storage: Seagate Barracuda 1TB 3.5" 7200RPM Internal Hard Drive ($53.98 @ OutletPC)...
This is a $1200 budget gaming build mate! You really should get a much stronger GTX970 gpu. You could get a cheaper but extremely efficient in games cpu setup and keep your original budget and features:

PCPartPicker part list / Price breakdown by merchant

CPU: Intel Core i5-4430 3.0GHz Quad-Core Processor ($169.99 @ Amazon)
Motherboard: Asus H81M-D PLUS Micro ATX LGA1150 Motherboard ($44.99 @ Newegg)
Memory: Team Vulcan 8GB (2 x 4GB) DDR3-1600 Memory ($77.99 @ Newegg)
Storage: Kingston SSDNow V300 Series 120GB 2.5" Solid State Drive ($58.99 @ NCIX US)
Storage: Seagate Barracuda 1TB 3.5" 7200RPM Internal Hard Drive ($53.98 @ OutletPC)
Video Card: MSI GeForce GTX 970 4GB Video Card ($329.99 @ Micro Center)
Case: Corsair 200R ATX Mid Tower Case ($39.99 @ Micro Center)
Power Supply: XFX 550W 80+ Bronze Certified ATX Power Supply ($44.99 @ NCIX US)
Optical Drive: Asus DRW-24B1ST/BLK/B/AS DVD/CD Writer ($16.98 @ OutletPC)
Operating System: Microsoft Windows 7 Home Premium SP1 (OEM) (64-bit) ($89.98 @ OutletPC)
Monitor: Asus VS248H-P 24.0" Monitor ($169.99 @ Amazon)
Keyboard: SteelSeries APEX Wired Gaming Keyboard ($81.32 @ NCIX US)
Speakers: Cyber Acoustics CA-3090 10W 2.1ch Speakers ($22.78 @ NCIX US)
Total: $1201.96
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2014-10-06 00:08 EDT-0400
 
Solution
Since you were willing to go to 1250, I'd go with the build above, but get a H97 motherboard for upgrading to Broadwell later.. Kingston's SSDs aren't the best, I'd rather go with a Samsung or Crucial. Otherwise, good build.