System Usage from Most to Least Important: Home media center
Parts Not Required: n/a (I pretty much need new everything)
Preferred Website(s) for Parts: I don't really care
Country of Origin: US
Parts Preferences: For my screen I want to hook it up to a nice new flatscreen tv 1080
SLI or Crossfire: No
Monitor Resolution: 1920x1080, I think that's HD resolution correct?
Additional Comments: Basically I want to connect this computer to a TV (I don't have this yet.) I am moving in about 2 weeks and will get all new stuff when i move ( I didn't have a very good comp or tv before but now i got a job and money). It should probably have a blu ray player and defiantly a dvd burner (preferably these can be combined). I would also if possible like to connect speakers from my computer to parts of my apartment say living room, kitchen, bathroom and bedroom and be able to play music to all or maybe just one of the rooms at a time (however this is something i can deal with later). I would also maybe have the ability to do some gaming but its not at all a priority. I will also have my comp on prob 24/7 for torrenting
I think running 24/7 you also want to consider power usage. I have a i3-540 / H55 setup that idles at 31W and maxes out at 84W. With your budget, you could easily afford those kind of parts.
I'd start with this CPU / motherboard (should be back in stock in a few days). The onboard graphics is one of the best for playing HD video and also has the capability to stream HD audio to a compatible receiver.
As for the case, that's really a very subjective thing. If you are going to have this hooked up to your TV I presume you want a HTPC style case? There are many ranging from $60 to hundreds of dollars depending on your taste, budget and available space in your cabinet. Just beware of cheap cases with cheaper PSUs in them.
Some suggestions (also check for these on Amazon.com to take advantage of free shipping):