Derivative of the show Fairy Tail, a Fire Dragon's Cook Out is when a Fire Dragon Slayer lights a girl's pussy on fire then eats it out.
Example 1
Natsu: "Hey Lucy can I test a new move on you?"
Lucy: "Sure. What's it called?"
Natsu: "Fire Dragon's Cook Out C:<"
Example 2
Gray: "Hey Natsu how was the date with Lucy last night?"
Natsu: "Great. I took her to dinner then we went back to her place where I gave her a Fire Dragon's Cook Out."