My SO tried "the deep". You could tell she was getting scared, but that said, she wished that her demo was more interactive, that she could control things or stuff like that.
I tried "battle zone". it was pretty cool to be sitting in the cockpit, looking at the controls, but the game only used the controller (not move wands) so I couldn't interact with anything in there. Even then, there were a couple of times I just wanted to reach out my hand and try to touch the controls in the cockpit. The game itself was ok, and I'm not sure that being in VR really added to the game itself all that much.
In the end, my feelings are the following: PSVR is amazing -- no sickness, fast reaction time, screen looked great to me. The games, however, really need to be made for VR in order to really come away with a truly great experience. Games that happen to be made with VR in mind (like battlezone) are good if you already have PSVR, but certainly didn't give me a reason to buy a PSVR. I really, really want to play a game that uses the move wands, where my hands are out there in the virtual world and I can reach and grab things, and see how that experience is.