Personally, whenever asked to recommend a case I err on the side of something silent but a solid performer.
On an extreme budget:http://www.newegg.com/Product/Product.a ... -_-Product
I've found the CoolerMaster Elite 360 to be a great bargain for a cheap case. It's quiet, fairly well built, handles cooling alright. Not a whole lot of room for expandability, but for basic uses it's fine.
For an average build:http://www.newegg.com/Product/Product.a ... -_-Product
The Antec Sonata Elite (or the Antec Sonata III that comes with a solid EarthWatts 500W PSU) is also very quiet, and actually does handle cooling pretty well given the singular 120mm exhaust fan.
And for my build:http://www.newegg.com/Product/Product.a ... tec%20p183
I actually have a P182, but the P183 is on par. Whisper quiet, EXCELLENT cooling if configured correctly. My own tower is able to keep my overclocked Q9650 nice and frosty, and the Radeon HD 5870 doesn't overheat as long as I remember to regularly clean out the dust filters.
For what it's worth, Antec's customer service is also 110% awesome. I e-mailed them because I'd lost the spare rails for my P182, and they sent me a bunch of new ones for free. E-mailed them again because I'd scratched the front door and wanted to replace it, they got back to me and were willing to sell me a replacement for like $12. If you want something good, that'll last for a long time, you can't go wrong with a P183.