The native resolution of your monitor is most important for gaming. Yours apparently is 1680x1050, and that is the minimum you will want to set up for.
Configuration assumes gaming at 1680 with no immediate change to 1920, but allows for that option later. This is a good starting point to move from based on your specific wants/needs.
Intel Core i5-750 Lynnfield 2.66GHz
http://www.newegg.com/Product/Product.aspx?Item=N82E16819115215
No need to buy a 760 when you can turn the clock up here and match it free. If you plan to OC more, give some feedback and we'll ad an appropriate cooler. If you don't plan to OC, the 760 at +$15 is OK as well.
GIGABYTE GA-P55A-UD3 LGA 1156 Intel P55 SATA 6Gb/s USB 3.0
http://www.newegg.com/Product/Product.aspx?Item=N82E16813128412
Supports crossfire, allowing you to add a second 5770 if/when needed.
Mushkin Enhanced Essentials 4GB (2 x 2GB) 240-Pin DDR3 SDRAM DDR3 1333 Cas9
http://www.newegg.com/Product/Product.aspx?Item=N82E16820146748
All the memory speed you need. If you plan to OC, we would choocse a bit differently.
SeaSonic S12II 520 Bronze 520W
http://www.newegg.com/Product/Product.aspx?Item=N82E16817151094
Perennial top-quality psu manufacturer, plenty for crossfiring 2x5770
XFX HD-577X-ZNFC Radeon HD 5770 1GB
http://www.newegg.com/Product/Product.aspx?Item=N82E16814150462
The 5770 does well even at higher resolutions, though if you were planning on gaming at 1920 very soon, would spec a GTX 460 1GB and a higher cost mobo supporting SLI as well, plus a 650W psu. The XFX has a double lifetime warranty, if that makes a difference to you.
SAMSUNG Spinpoint F3 HD103SJ 1TB
http://www.newegg.com/Product/Product.aspx?Item=N82E16822152185
Fastest, best value, quality 1 TB HD. Obviously we haven't talked about your disk storage needs.
Sony Optiarc Black 24X DVD+R 8X DVD+RW 12X DVD+R DL 24X DVD-R 6X DVD-RW 12X DVD-RAM 16X DVD-ROM 48X CD-R 32X CD-RW 48X CD-ROM 2MB Cache SATA CD/DVD Burner
http://www.newegg.com/Product/Product.aspx?Item=N82E16827118039
Does everything but eat, quickly, quietly, no Lightscribe which I personall feel is a plus, you may feel differently.
COOLER MASTER HAF 912
http://www.newegg.com/Product/Product.aspx?Item=N82E16811119233
Cases are a matter of capacity, air flow, quiet, and personal taste. This case does the first three, may not suit your taste. It has several bigger brothers you might look at as well, ie, 922, 932, X.
Microsoft Windows 7 Home Premium 64-bit
http://www.newegg.com/Product/Product.aspx?Item=N82E16832116754
Total $847 ($822 after $25 MIR) + $14 shipping, no combos.