Good desktop in the $300-$400 range? (read details)?

So I'm looking to get a new desktop, and I'm just looking for some opinions on some good ones for some games, such as minecraft, skyrim, titanfall, etc. I think the highest I would go is $500 maybe. I'm not looking for some fancy gaming computer, just one that can support these games, and some others.

Skyrim Specs: (Video Graphics is where most machines fail the test)
You Do need a machine that meets these requirements for Skyrim.
Recommended
-Windows 7/Vista/XP PC (32 or 64 bit)
-Quad-core Intel or AMD CPU processor
-4GB System RAM
-6GB free HDD (Hard disk drive) space
-DirectX 9.0c compatible NVIDIA or AMD ATI video card with 1GB of RAM: Nvidia GeForce GTX 260 or higher; ATI Radeon HD 4890 or higher
-DirectX compatible sound card
-Internet access for Steam activation

I have an i5, biostar motherboard, sapphire 6670hd. This cost about 600SGD but if you live in US or UK it might be cheaper due to conversion. If you can build it yourself looking for parts is probably cheaper than buying I it pre made