(Can be in D1 or D2)
Mine just happened yesterday while patrolling the Moon.
I killed a Nightmare Ogre point-blank with a grenade launcher (blowing myself up in the process) and he dropped an exotic.
It was Monte Carlo. I almost died of laughter.
So I guess if you want an exotic, just perform a ritual sacrifice.
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#destiny2
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Gjallerhorn from first completion PoE 28 reward (House of Wolves), on 3rd character. The first 2 both got Plan C which I had just got from a PvP end-match reward...I was overjoyed...that it wasn't a FOURTH PLAN C