Meninga is the only player in history to be selected for four Kangaroo Tours. He toured with the Kangaroos in 1982, 1986, 1990 and 1994, appearing in every test match against Great Britain and France on all four tours. He is also the only player to captain two Kangaroo Tours, in 1990 and 1994. Additionally he is one of five players, along with Wally Lewis, Peter Sterling, Brett Kenny and Gene Miles, who were members of the undefeated 1982 and 1986 tours, known as 'the Invincibles' and 'the Unbeatables' respectively. .