I have games from Win9X through 2015 and I have no issues playing them on my R9 280, in fact the only issues I have playing older games is I often have to bypass the shitastic DRM they used them like Starfuck and SecuSUC which will if you aren't careful try to shoehorn a 32bit kernel driver into a 64bit kernel and fuck the OS. Luckily most of the companies making that shit were so damned cheap they kept their piss poor 16bit installers way into the 32bit era and thus won't be able to run the installer.
But since they switched away from VLIW to GCN things have been nothing but candy and puppies and say what you will but you have to give 'em credit, when they EOLed the old VLIW cards and APUs when they released Crimson? They were at least decent enough to release a beta of Crimson specifically for these older chips that not only gives them any Crimson features that those chips will support but also runs on Win 7-10 so any of the older chips that didn't have Win 10 drivers? Well they do now. I installed it on my E350 netbook from 2011, runs great and even improved my hardware video acceleration.