Realistically, if a game runs well on my modern machine, that's how I prefer to play it. That machine is quiet, and is already hooked up to my nice monitor, speakers, keyboard, mouse. That convenience is hard to give up. It also allows to crank up the eye candy like AA, AF, high resolutions, while keeping smooth framerate.
I don't care much for period correct hardware, in fact I hated beige cases, whiny hard drives, and floppy disks even when they were mainstream. Also back then I often ran into performance limitations and wished for faster hardware.
But I do like to tinker with hardware, especially if it's something I didn't have back then. I missed out on the whole 3dfx era of PC games, so I built a win98 rig specifically for that. In a black case, with quiet 120mm fans.
The funny thing is that it sometimes takes me years to finish a game, simply because something else catches my interest. I started playing Unreal Gold on my old P3 laptop with a Rage Pro, and only beat the game over a decade later on a Core i7 and a DX11 Radeon. Started Deus Ex on a Athlon XP with a Radeon 9000pro, and finished it... well, I still have a savefile with about 90% progress somewhere. But last I played it, I was already on a GF 8800gt, and ennjoying the SSAA eye candy. So it's hard to pin down certain games to certain period hardware.
Then there are some classic favorites like NOLF, RTCW, Max Payne and Duke3d, which I already played through several times over the last two decades using a wide variety of hardware, and would enjoy another playthrough sometime soon. If it runs on my modern machine, then all the better.
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