If you have the time and/or Black Friday, and don't need an OS purchase or monitor (which a PS4/X1 also doesn't come with), you can build a system that is capable of doing just fine at high settings and 1080p/60FPS with 500-600$. And it will be future proof for a good while, not to mention that the extra cost runs you the added bonus of endless backwards compatibility.
The Anthlon is such an overclocking powerhouse that in terms of raw CPU power for budget, it doesn't get much better. Get that on a deal with a good mobo mITX and you are well on your way to making a very solid budget gaming rig.
But, really, the whole point of the PC over the console is the fact that you can always change the guts. By the end of a generation you won't need to replace everything inside, in fact most things like SSHD/HDD, RAM, PSU, and the case, won't need to even be touched. Your upgrade between generations will be 200$ as the proper budget CPU and GPU get cheaper and cheaper.
