Title:           Personally, I like to recommend the HAF-912. It's what I have, it's cheap, and i
Author:          gando
Pastebin link:   http://pastebin.com/AwTeCD1B
First Edit:      Thursday 3rd of November 2011 05:55:08 AM CDT
Last Edit:       Thursday 3rd of November 2011 05:55:08 AM CDT

Personally, I like to recommend the HAF-912. It's what I have, it's cheap, and it's high quality. It fits my GTX570 quite easily, and the 570 I have is 9" long. From what I've read, the 6770 you're looking at is only 8.8" long, which should fit quite well!
[url=http://www.newegg.com/Product/Product.aspx?Item=N82E16811119233]Link to HAF-912 case[/url]
[url=http://xfxforce.com/en-us/products/GraphicCards/HD%206000series/6770.aspx]Reference to XFX 6770 card[/url]
 
As for the processor, I love Intel, so I might be [I]extremely[/I] biased towards them. I recommend an i5-2500k if you plan on overclocking, and an i5-2500 if you don't.
[url=http://www.newegg.com/Product/Product.aspx?Item=N82E16819115072]i5-2500k[/url]
[url=http://www.newegg.com/Product/Product.aspx?Item=N82E16819115073]i5-2500[/url]
 
For motherboard, I'd recommend a P67 mobo if you're going for the i5-2500k, and an H67 mobo if you're going for the 2500.
[url=http://www.newegg.com/Product/Product.aspx?Item=N82E16813157229]High quality P67 mobo, I have one. This one has a rebate.[/url]
[url=http://www.newegg.com/Product/Product.aspx?Item=N82E16813157265]Slightly higher quality P67 mobo, but a little bit more expensive. Not sure if the benefits are worth the cost.[/url]
[url=http://www.newegg.com/Product/Product.aspx?Item=N82E16813130579]Decently rated H67 motherboard[/url]
 
PSU is something you DO NOT want to skimp on. I'm a fan of Corsair and XFX XXX Edition PSUs.
 
[url=http://www.newegg.com/Product/Product.aspx?Item=N82E16817207016]Semi-modular XFX PSU, 750W. Way more than enough for most rigs.[/url]