For anyone looking to get into PC gaming, this PC offers a lot of great performance right now via the dual-core, hyperthreaded Intel Core i3, and 4GB Polaris-based RX 470 GPU, with parts available in the $500-$600 range provided you do some smart shopping. With the new AMD RX 470 providing performance around that of a GTX 970 in DX11 games, and promising better than GTX 970 performance in DX12 and Vulkan games, this PC should be able to kick out 60+ FPS or better on Ultra and 1080p, for all but the most demanding titles. Here's a FireStrike result using the OC Mode: http://www.3dmark.com/fs/9861840
Note that I actually built this PC for my wife and these are my actual costs including sales tax where I had to pay it. I purchased a number of the components - CPU, MOBO, HDD, RAM, PSU - at MicroCenter and ordered others from Jet (GPU), Amazon (Case, Fan Splitter), and NewEgg (SSD).
I also tried to keep an eye on future upgrade paths. A couple of easy upgrades would be flipping the i3 into an i5-6500 for a true quad-core CPU, and adding another 8GB RAM stick. At some point the GPU could be upgraded, such as to a 1070 or similar card, without changing out the PSU, thanks to the low power requirements of Pascal. Though I would note that if that is your plan, consider going with a 500W or 550W PSU just to be on the safe side.
Looking far ahead, I chose to purchase a nicer case so that the GPU, CPU, PSU, and motherboard could be sold and upgraded in the future, retaining the HDD, case, and RAM, if one wanted to do more of a complete rebuild. That said I'm not sure I'd recommend the BitFenix Prodigy M for a component list like this, as the drive mounting is bizarre if you have both a 3.5" and 2.5" drive, and the front drive bay isn't usable with the MSI RX 470. Instead of mounting the 2.5" drive via the bracket that obscures the window, I attached it to the drive bay via some Sugru and that helps conceal the wiring. Also while the motherboard was extremely cheap, it isn't exactly "feature rich" and in fact only has one case fan header, so I had to purchase a splitter to power the two fans included with the BitFenix Prodigy M. Finally I didn't include the cost of a USB WiFi adapter, so add $15 for one of those if you're not using a wired connection.
All in all for the cost I'm blown away by the performance of this machine. As an example, it runs Overwatch at 1080p on Ultra at 100% scale at between 80-100 FPS. Considering the availability of 1080p 144hz FreeSync monitors in the $200-$300 range, you can get one fantastic gaming experience out of a PC like this and leave plenty of upgrade room for the future.