well... to be honest, the i3 3225 isnt a great chip for gaming at $139 (@newegg.com), which i can presume is the intent for this system with your inclusion of the gtx 660ti. i can recommend a good build, but with the following disclaimer: you can get a better performing processor for minimal increase in price, the I5 3350P, $179 @newegg.com. also, a better performing graphics card for $30 cheaper than the 660ti (For a good brand that is) the GTX 760 is $249, has a higher memory bandwidth, and less power/heat.
Heres a go at it, with your parts included.
Processor: I3 3225 Dual Core LGA 1155 3.3ghz CPU- $140@newegg.com
Motherboard: ASRock Z77M LGA 1155 Intel Z77 HDMI SATA 6Gb/s USB 3.0 Micro ATX Intel Motherboard- $90@newegg.com
Memory: Team Dark Series 8GB (2 x 4GB) 240-Pin DDR3 SDRAM DDR3 1600 Model TDRD38G1600HC9DC01- $55@newegg.com
Video Card: PNY VCGGTX660TXPB GeForce GTX 660 Ti 2GB 192-bit GDDR5 PCI Express 3.0 x16 SLI Support Video Card- $245@newegg.com
Hard Drive: Seagate ST1000DM003 1TB 7200RPM 64MB CACHE HDD- $70@newegg.com
PSU: CORSAIR Builder Series CX500 500W ATX12V v2.3 80 PLUS BRONZE Certified Active PFC Power Supply- $50@newegg.com
Case: COUGAR Spike Black Steel / Plastic MicroATX Mini Tower Gaming Case with USB 3.0 and 12CM Cougar Fan- $30@newegg.com
DVD\Optical Drive: Pick ANY one for $20@newegg.com
Total: $700
$10 rebate for case
$20 rebate for power supply
Total cost: $670
Now mind you this is all newegg.com. There are a few rebates on all of these items right now. So with that in mind, try this on for size with the better processor and graphics card i mentioned.
Processor: I5 3350P Quad Core LGA 1155 3.1ghz CPU- $180@newegg.com
Motherboard: ASRock Z77M LGA 1155 Intel Z77 HDMI SATA 6Gb/s USB 3.0 Micro ATX Intel Motherboard- $90@newegg.com
Memory: Team Dark Series 8GB (2 x 4GB) 240-Pin DDR3 SDRAM DDR3 1600 Model TDRD38G1600HC9DC01- $55@newegg.com
Video Card:EVGA 02G-P4-2760-KR GeForce GTX 760 2GB 256-bit GDDR5 PCI Express 3.0 SLI Support Video Card- $250@newegg.com
Hard Drive:Seagate ST1000DM003 1TB 7200RPM 64MB CACHE HDD- $70@newegg.com
PSU: CORSAIR Builder Series CX500 500W ATX12V v2.3 80 PLUS BRONZE Certified Active PFC Power Supply- $50@newegg.com (promo code)
Case: COUGAR Spike Black Steel / Plastic MicroATX Mini Tower Gaming Case with USB 3.0 and 12CM Cougar Fan- $30@newegg.com
DVD\Optical Drive: PICK ANY ONE FOR $20@newegg.com
Total: $745
$10 rebate for case
$20 rebate for power supply
Total cost: $715
All items on both carts are all free shipping items. I would act quickly on that 2nd cart if you dont absolutely have to use those parts you mentioned, cause the rebates and promo codes (its just one for the power supply) might expire soon!
Hope this helped and I'm not trying to rope you into something you dont need, just offering slightly better bang for the buck. A quad core processor would suit you better for gaming and the GTX 770 is a better, brand new video card that uses less power and causes less heat. With a mere $45 difference in price, I would highly recommend using the 2nd cart i suggested.
Good luck with your build!