| Austral-Asia Cup (Australia, Bangladesh, India, New Zealand, Pakistan, Sri Lanka in United Arab Emirates), 1990 | 1990 | Pakistan | - |
| ICC World Cup (in England/Ireland/Netherlands/Scotland), 1999 | 1999 | Australia | - |
| ICC Champions Trophy (in Sri Lanka), 2002/03 | 2002/03 | shared | - |
| Bangladesh in Australia Test Series, 2003 | 2003 | Australia | 2-0 (2) |
| Bangladesh in Australia ODI Series, 2003 | 2003 | Australia | 3-0 (3) |
| NatWest Series (Australia, Bangladesh, England in England), 2005 | 2005 | shared | - |
| Australia in Bangladesh Test Series, 2005/06 | 2005/06 | Australia | 2-0 (2) |
| Australia in Bangladesh ODI Series, 2005/06 | 2005/06 | Australia | 3-0 (3) |
| ICC World Cup (in West Indies), 2006/07 | 2006/07 | Australia | - |
| ICC World Twenty20 (in South Africa), 2007/08 | 2007/08 | India | - |
| Bangladesh in Australia ODI Series, 2008 | 2008 | Australia | 3-0 (3) |
| ICC World Twenty20 (in West Indies), 2010 | 2010 | England | - |
| Australia in Bangladesh ODI Series, 2011 | 2011 | Australia | 3-0 (3) |
| World T20 (in Bangladesh), 2013/14 | 2013/14 | Sri Lanka | - |
| World T20 (in India), 2015/16 | 2015/16 | West Indies | - |
| ICC Champions Trophy (in England), 2017 | 2017 | Pakistan | - |
| Australia in Bangladesh Test Series, 2017 | 2017 | drawn | 1-1 (2) |
| ICC Cricket World Cup (in England), 2019 | 2019 | England | - |
| Australia in Bangladesh T20I Series, 2021 | 2021 | Bangladesh | 4-1 (5) |
| ICC Men's T20 World Cup (in Oman/United Arab Emirates), 2021/22 | 2021/22 | Australia | - |
| ICC Cricket World Cup (in India), 2023/24 | 2023/24 | Australia | - |
| ICC Men's T20 World Cup (in United States of America/West Indies), 2024 | 2024 | India | - |