The act of destroying Barbie dolls on a barbecue grill.
Sharon: “Hey Mikey, have you seen my old Barbie doll?”
Mikey: “Yeah, I threw it on the grill.”
Sharon “MIKEY! WHY WOULD YOU DO THAT?!”
Mikey: “Hehehe, Barbiecue.”
A cookout where the grill is fueled by discarded "leggy dolls" instead of charcoal. Could also refer to the blazing-inferno house-fire that the spoiled-little-brat Debbie Jellinsky had seethingly set after receiving (horrors!) a MALIBU BARBIE doll for her birthday instead of the pink-tutu-clad Ballerina Barbie that she'd wanted; no doubt said "incorrect girlie-accessory" got "charbroiled" inside said conflagration, as well.
I stopped by the local landfill a few days after Christmas and was shocked to see all the broken/unwanted "little girl toys" scattered in piles along with other end-of-year-holidays flotsam and jetsam --- there was enough volume of pale-complexioned plastic there to host a bleepin' BARBIECUE!