The Kinect you bought sounds pretty cool - and sounds like it has the original box and documents. Maybe the one on eBay doesn't have all of that? Not sure, but would think that'd be pretty important to collectors.
The one on eBay has all the stuff mine does. When I looked yesterday (using the same process of Google Lens/Image Search), that listing didn't show up for some reason. Doesn't really matter to me, though, as I got it for free from a yard sale back in Washington a few years ago. I just got done running pictures of the two mystery games through Google Image Search, and it still doesn't pull up anything for those. I've never shown the back of the Soulcalibur II game, so here's a picture of that:

It's unlike any other PS2 rear cover art that I can find, so that's at least encouraging. It also has "CSD-715" on the spine, disc art, and lasered onto the inner ring of the disc underside. The Castlevania disc has "Castlevania" on the bottom of the inner disc ring:

(The Soulcalibur II disc is similar in this regard)
I remember there being more of these "Players" PS1 games where I got the Castlevania game, but none were as valuable title as Castlevania. So there are more of these strange games floating around Washington State. (I bought it at least 8-9 months ago). So if the person who picked up the rest of those is here (HIGHLY unlikely), I'd love to see what the other titles were. I'll keep looking for more info, and I'll put it in the next end page if I find more. See you! Gal peace!