The only game I've played on either is MGSVTPP on Ps4 and Typing of the Dead Overkill on the PC. That's about it. I'd recommend Desert Strike on the Genesis and Devilish on the Game Gear though. But honestly I would go with PS4 then maybe a gaming PC if you eventually have the cash for it. A decent PC is a big money sink and how much are you going to enjoy whats on steam or emulated? That may be the best route for you.
And by awesome I mean totally sweet.