Knowing me, if some genie asked me what game I wanted to be sucked into I'd auto-respond "SILENT HILL!" before thinking and then follow it with a long list of swear words at my own predictability and lack of planning. If that were the case the first thing I'd do is cower in fear, possibly wet myself, or if I had a moment of clarity, look for a weapon and then wet myself.
If I planned it out properly however I'd likely answer something easy like Animal Crossing (You don't have to eat, sleep, bathe, or do just about anything unless you want to, and video games exist within the video game), or The Sims (it's an STD-devoid environment that's otherwise very similar to reality), or RPG Maker (where I would have god-like powers to change everything about the world around me on a whim).