MOBO: ASRock Z68M/USB3 LGA 1155 Intel Z68 HDMI SATA 6Gb/s USB 3.0 Micro ATX Intel Motherboard
http://www.newegg.com/Product/Product.aspx?Item=N82E16813157270
RAM: G.SKILL Ripjaws Series 8GB (2 x 4GB) 240-Pin DDR3 SDRAM DDR3 1600 (PC3 12800) Desktop Memory Model F3-12800CL9D-8GBRL
http://www.newegg.com/Product/Product.aspx?Item=N82E16820231314
GPU: SAPPHIRE 11199-00-20G Radeon HD 7870 GHz Edition 2GB 256-bit GDDR5 PCI Express 3.0 x16 HDCP Ready CrossFireX Support Video Card
http://www.newegg.com/Product/Product.aspx?Item=N82E16814102981
PSU: OCZ ZT Series 550W Fully-Modular 80PLUS Bronze High Performance Power Supply compatible with Intel Sandy Bridge Core i3 i5 i7 and AMD Phenom
http://www.newegg.com/Product/Product.aspx?Item=N82E16817341050
CASE: COOLER MASTER HAF 912 RC-912-KKN1 Black SECC/ ABS Plastic ATX Mid Tower Computer Case
http://www.newegg.com/Product/Product.aspx?Item=N82E16811119233
SATA CABLE: BYTECC Model SATA-118C 18" Serial ATA-150/300 Cable w/Locking Latch
http://www.newegg.com/Product/Product.aspx?Item=N82E16812270093
OPTICAL DRIVE: ASUS Black 18X DVD-ROM 48X CD-ROM SATA DVD-ROM Drive Model DVD-E818A7T/BLK/B/GEN - OEM
http://www.newegg.com/Product/Product.aspx?Item=N82E16827135224
CPU: Intel Core i3-2120 Sandy Bridge 3.3GHz LGA 1155 65W Dual-Core Desktop Processor Intel HD Graphics 2000 BX80623I32120
http://www.newegg.com/Product/Product.aspx?Item=N82E16819115077
HDD: Western Digital Caviar Blue WD5000AAKS 500GB 7200 RPM 16MB Cache SATA 3.0Gb/s 3.5" Internal Hard Drive -Bare Drive
http://www.newegg.com/Product/Product.aspx?Item=N82E16822136073
My recommendation for $750-850. Total: $832.41 USD after mail in rebates.
I was able to save big in a few areas, due to your no overclocking, no SLI/CF preferences. I was able to pick a cheaper motherboard, as you said you don't need SLI/CF/OC features.
Also, many games utilize CPU much less these days, so I felt with your budget, an i3 would be more appropriate, it is an extremely good processor and is faster than many of AMD's quad cores. I was able to squeeze in an HD 7870, which is just an amazing GPU, and should give you good frame rates on most of todays titles using high to max settings. Plus it comes with a free copy of Dirt 3.
I also included a sata cable, because the cd drive is OEM, and doesn't come with one. The PSU is modular, so that will help with cable routing, it's also 80+ bronze certified, so it's built to a tighter spec and will save you a few dollars on your power bill. Other than that, good luck with your build!