Brilliant post with a twist nobody saw coming, just like in video games lol.
The three games I'd have with me on a deserted island:

1. The Witcher 3 GOTY Edition, because that is a very long game to complete, and I'm a very slow gamer, as in I progress in games really slowly. So there might be a chance I won't run out of game before I get rescued.

2. The Legend of Zelda: Breath of the Wild, simply because I haven't played it and really want to. If I don't survive on that island I want at least one of my wishes granted first.

3. For the last one, I actually would like to go with BioShock: The Collection, but I can't, because it contains 3 games. So I'll go with BioShock Infinite. I'll only play this if I know I won't survive, so when I reach my limit and reach the ending at the same time I'll die with emptiness in my chest because of that beautiful game lmao.