Barbie is probably the most well-known Australian slang word in the US, right up there with "G'day mate." The phrase "shrimp on the barbie" became embedded in pop culture thanks to Paul Hogan's Australian tourism ads, which ran from 1984 to 1990.
As I quickly learned, Aussies never actually say "shrimp on the barbie." Prawns are far more common Down Under (yes, they're different) and, I was surprised to learn, very popular at Christmas dinners.
"Can you throw some snags on the barbie for me?" was a far more common question.