2001
ARIA (Australian Record Industry Awards) Awards Hall Of Fame Award

1994
ARIA Award for Best Video "The Gift"

1992
Australian Music Awards for Best Australian Band and Best Video ("Baby Don't Cry").
ARIA Award for Best Group "Live Baby Live"

1989
3 ARIA Awards including Best Group, Best Video, and Outstanding Achievement Award

1988
5 MTV Video Music Awards including Video of the Year, Best Group Video, Best Editing (Richard Lowenstein), Breakthrough Video, and Viewer's Choice, and was nominated for Best Concept Video, Best Special Effects, , Best Art Direction, and Breakthrough Video.

1987
ARIA Award for Best Group