Boredom could be the case... could have been after a long gaming session, or that you were already tired... perhaps the unskippable cutscene was too long. Maybe you were drunk? Whatever the reason have you ever actually fallen asleep during a gaming session?

I would like to know the game and the story behind your slumber.

I have two stories that I will share later on.

fifa. I was incredibly drunk

Pokemon. Not because I was bored, but because I was playing until 2 A.M at the age of 6 under the covers with one of these. 

Mario Golf. That game cures insomnia.

Bread Simulator... Made me realize how much I would fap rather than playing this thing

Have never fallen asleep but I have zoned out and stared at the screen without moving for an indefinite amount of time. I was baked asf

edit: was COD zombies btw

I don't think I've ever fallen asleep while playing games.

Hmm, I think I fell asleep during Fire Emblem Awakening...? I was playing when I realized I dozed off and dropped my 3DS. I was shocked and felt so bad dropping it. I quit playing and went to bed. It was a sign it was time for bed.

I think I also fell asleep during FF13. I would get bored and doze off after awhile from not understanding boring drivel the characters were saying as well as getting through all the boring battles. Press X to win.

Lol there is too many to count =P
But 2 I definitely remeber are FIFA and Pokemon.
Its not uncommon for me to fall asleep while gaming on a handheld, I just play until I sleep sometimes

I almost fell asleep playing Xenoblade 3D last night. Not because I was bored, but because it was like 2 AM and the game was playing super relaxing music and it was also night time in the game. Recipe for disaster.