One of the choir members who appeared on the recording, Lawrence Dallaglio, became famous as a rugby union star and captain of the England national team.

The accompanying music video for "We Don't Need Another Hero (Thunderdome)" features Turner dressed in her Aunty Entity costume from the Mad Max film, a heavy chain mail gown.

In the last portion of the video, Turner is accompanied by a children's choir and Tim Cappello, her tour saxophonist, percussionist and keyboardist at the time.

In 2004, Canadian singer Jane Child recorded a cover of the song, titling it "Beyond Thunderdome (We Don't Need Another Hero)" for the album What's Love?

It was sung in the story where Pontius Pilate (Seal) is torn at sentencing Jesus (Jencarlos) to death; the lyrics were amended to remove the reference to Thunderdome, which was replaced with "the love we know".