To be expected as the base ps4 is ancient. In a way they were tricking console players by showing off high end PC graphics. The ps4 pro and one x will fair a little better but still way off what CDPR were showing. Only next gen consoles will give a decent experience and i would hazard a guess that's probably the correct time to play this buggy mess on PC as if they mess that up then that's a lot of next gen gamers with a bad opinion of CDPR.
I'm currently playing it on a One X and it is playable but the graphics are good at best and there are A LOT of various glitches and weird stuff. So far: Someone peeing through their trousers and then seemingly never stopping. i.e. they walk off after the peeing animation is over but they are still hosing the place down, duplicate objects in a cutscene like a floating cigarette and a moving one, random floating cases during a mission, cars that don't know how to drive and seemingly grind round the place, hookers leaning in to windows with no drivers in said car, people sitting in a car that isn't there i.e. just floating, people dissapearing/suddenly appearing, the cowerers that seemingly cower forever, guns not rendering in my hands, my hair dissapears when i look in mirrors.. There's probably others I've seen but that's all i can remember right now. Even so, i am enjoying it. Just wish they'd finished it first. Haha!
I also turned off all the graphics options like lens flare/motion blur etc.