How can I remove this screw from a ps4 system?
For that top picture's stripped screw-head you can first try a drill bit turned very slowly to hopefully catch the head and loosen it. Or, you can cut a slot in it with a Dremel cutting wheel to get a flat-head screwdriver in to remove it.

If neither of those work or are available, then you'll need the a Screw-Out kit, most hardware stores have them from Craftsman or another brand. They're basically a special drill bit designed to remove damaged screws...they do actually work.