If we are talking about purely physical games in my collection, it's well over 250. It was over 500 a few years back, but I've since gotten rid of a LOT of my collection since then because: 1) I knew I would never get to them, and, more importantly; 2) I lost interest in most of them due to my age and severe depression. I still have a lot of rather rare (and extremely expensive now) games, but I used to be a rare game hunter for JRPGs back in the 2000s and 2010s, and I just don't have much interest in them anymore.
I don't think about digital games because my GOG catalogue is over 300 games (most of which I've not touched), and my Steam catalogue is pushing about 60ish(?) (I never liked Steam once it became a DRM platform). And I'm not even going to think about all the JP VNs and doujin games in my digital collection I've amassed since about 2004....