A "cone" being a Australian/New Zealand slang word for bowl (of your bong) a "breakkie cone" is a phrase describing a toke or two before breakfast. Also known as a Pre-breakkie cone. The post breakkie cone obviously wraps up your breakfast session.
Stoner #1--"Man I am so starving after that breakkie cone I might eat your mom."
An insanely massive breakfast, usually containing various types of typical breakfast foods in large(r) quantities.
I had a birthday breakfeast: three eggs, an omelet, four slices of bacon, four sausage links, hashbrowns, five pancakes, two waffles, French toast; I'm pretty much full.
Allegedly, the first meal of the day as spelled and pronounced by one who has only heard of it and rarely if ever has been awake and able to partake in it before it officially turns into lunch.