pc build help

For light gaming go for this PCPartPicker part list / Price breakdown by merchant

CPU: AMD A8-7600 3.1GHz Quad-Core Processor ($79.99 @ SuperBiiz)
Motherboard: Asus A68HM-E Micro ATX FM2+ Motherboard ($45.99 @ SuperBiiz)
Memory: G.Skill Ripjaws X Series 8GB (2 x 4GB) DDR3-2133 Memory ($44.99 @ Newegg)
Storage: Western Digital Caviar Blue 320GB 3.5" 7200RPM Internal Hard Drive ($24.00 @ Amazon)
Case: Logisys CS301BK ATX Mid Tower Case w/480W Power Supply ($30.99 @ SuperBiiz)
Wireless Network Adapter: Belkin F9L1001 802.11b/g/n USB 2.0 Wi-Fi Adapter ($8.99 @ Amazon)
Total: $234.95
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2015-09-30 17:28 EDT-0400
 
For gaming on integrated graphics, you really want an AMD APU/FM2+ build as DeathRabbit is suggesting. they have significantly more graphical horsepower than anything integrated intel graphics save for 5th-gen core series with IrisPRO 6200, but good luck finding that outside of an OEM?.