Black Sheep Hit: Technically "Surf's Up Tonight" with it's "summer lovin'" theme and mellower sound, but it didn't matter because it wasn't an introduction to the band for anyone in Australia, and did little business overseas besides some airplay on US alternative radio stations.
"The Real Thing" is a better example. The band had a dozen or so people write a list of a hundred songs for them to potentially cover. They selected "The Real Thing" because it was the only song that appeared on every list. It had already become a black sheep hit for Russell Morris and even had it not aged badly in the more than 30 years since its original release, its semi-intentional goofiness was a poor fit for Midnight Oil. It only sounded weirder for their attempt to make it sound like a song they could have written.