As others have said, PCs can (with a midrange tower, nothing too fancy) easily run anything up to PS2 era given simple software that anyone can find. Currently, PCs *can* run 360/PS3 games with every bit as much power if not more (ports say hi) but the dev/publisher restrictions on the discs and in the software make it so you can't just pop it into your PC and game away. That's where problems start; you have to "siphon" or use up a certain percentage of your computer's processing power just running the kit to run the game on (basically emulating an operating system, in simple terms), and if that kit is reverse engineered poorly or designed inefficiently, you can be left with not enough processing power to run the game at full pelt.
That notwithstanding, it'll be figured out eventually. Once upon a time PS2 games were "impossible" to emulate on PCs, but now you can set it up from scratch in under an hour - even playing your legit PS2 games by popping the discs in the tower. FFX has some great PC mods, particularly the high-res ones, great looking game now.
But yeah, that's why console-only games are such a pisser. It's not that they can't be run on PCs, because all games can (and indeed the "next-gen" xbone games were all being previewed from a PC), it's that the publishers have deals with console manufacturers to fuck over consumers and hold games hostage. Most of the time these games are hardly worth playing; there are typically better versions of them available on PC anyway, but once in awhile a great game like TLoU comes out and makes us mad all over again at greedy publishers and their bullshit sales tactics. My PC is tremendously more powerful than a PS3 now, and as soon as the next gen consoles hit and the specs on those are actually confirmed, I'll probably upgrade a few pieces and have it be more powerful than those, too. But fuck publishers trying to force me to buy their bullshit proprietary console to play a single game. Not gonna happen.