Pokemon Fire Red and Mario & Luigi: Superstar Saga when I was a kid, I fell asleep listening to the music.

Virtue's Last Reward. I was really tired and the game was really heavy on text. I decided to my eyes for a second and woke up two hours later

Those are mine ironically + FFXIII

I fall asleep even before trying to even play a game on my PS3 when them bitches need to download AND install!

Xenosaga and its endless cutscenes.

Every mgs for some reason. But i ended up liking every game and understood the story

I can't remember falling asleep while actively playing, though I'm sure it happened, but me laying down or shutting the lid of a handheld console and going "I'll just close my eyes for a few minutes" and falling fast asleep happens all the time.

MGSIV cause of those long cutscenes... Jesus!

beyond two soulzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz..........

I remember I fell asleep while playing Animal Crossing once. Not out of boredom, but to catch the rare bugs that only appear at around 2 in the morning.