LucasArts' early foray into first-person shootin', Star Wars style, looks like the next potential PSone Classic re-release coming to the PlayStation Store. The ESRB has re-rated Star Wars: Dark Forces for both the PlayStation 3 and PSP.
That's as good an indication as any that the PSone Classic line-up may get something revered unsarcastically as an actual "classic." The most recent original PlayStation digital releases on PSN, like Perfect Weapon, ONE, Jigsaw Madness and TNN Motorsports Hardcore 4×4, have helped to stretch the definition of classic to its breaking point.
Maybe re-releases such as the original Dark Forces and Final Fantasy IX will help?
Of course, if you'd prefer to get the superior version of Star Wars: Dark Forces for the PC (probably a buck cheaper than its PSone Classics counterpart will be), you can always grab it off Steam. Pretty sure your PC can handle it.