FFX has put me to sleep before, but that's probably because I was tired and had to grind.
Any game can do that for me. Since I can fall asleep anywhere. I once fell asleep at a punk show, I found a comfy chair and fell asleep for a few minuites...
Haha, I wish I could do that, but I enter a state of just almost comfortable and sleeping but not quite. One day I was really tired and had a bad cold, but forced myself to go to class anyway. In the end I couldn't read anything on the paper in front of me, but couldn't fall asleep either, it was really frustrating. Like being on the verge of sneezing, but never being able to sneeze.