A story often told by a good friend or significant other, of which you are obliged to listen; A story which you must listen to, as to not offend the delivering party.
"1: I was late to the bar because my girlfriend told me the dumbest obligastory as I was walking out the door.
2: What a dumb cunt!"
"I wanted to leave work on time but my supervisor started on this long obligastory..."
"1: This one time at band camp...
2: Is this an obligastory? Or can you shut the fuck up? The Man Show is on"
When a woman does something for you that deserves a reward, as long as you are sexually involved with her, you may be obligated to give her an orgasm or multiple orgasms
You did such a great job entertaining my boss for dinner tonight, now I must give you an obligasm.