Case- HAF X
CPU- 3570K Since Ivy Bridge runs really hot already, the 3770K is only going to add more heat due to Hyper Threading (although you can turn it off), its not really worth it.
GPU- I would go with the 670, just because it is so close to the 680 in performance, but 100 bucks cheaper. Go with the 680 if you have money to blow.
Motherboard- In my next build I'm getting this:
http://www.newegg.com/Product/Product.aspx?Item=N82E16813157299 and not for the branding, but for the specs and price. If money is no issue, go for this:
http://www.newegg.com/Product/Product.aspx?Item=N82E16813131818 or this
http://www.newegg.com/Product/Product.aspx?Item=N82E16813131821
RAM: Really any DDR3 memory is fine.
Now for the CPU cooling, I personally recommend this:
http://www.frozencpu.com/products/15140/ex-wat-203/XSPC_Raystorm_RX360_Extreme_Universal_CPU_Water_Cooling_Kit_w_RX360_Radiator_and_Free_Kill_Coil_Hot_item.html
and when you check out, make sure to change to the Swiftech MCP655 for an extra $15, its worth it. This kit will make your life a whole lot simpler with choosing parts, and you can even add in parts later on with this pump. For the GPU block, get the EK 680 block WITHOUT the Electro-less Nickel Plating.