The New Zealand national cricket team toured Australia in the 2004–05 season and played 2 Test matches against Australia.
New Zealand cricket team in Australia in 2004–05 Wikipedia
Australia won the Test series 2-0 with convincing wins in both matches.1st Test (Brisbane) – Australia won by innings and 156 runs
2nd Test (Adelaide) – Australia won by 213 runs
Glenn McGrath was named man of the series after hitting his first half century in the First Test and took 9 wickets over the two matches.
Australia and New Zealand played an ODI series which ended 1-1 with one game abandoned due to rain. This was the inaugural Chappell–Hadlee Trophy.1st ODI (Melbourne) New Zealand won by 4 wickets. This was the first win by New Zealand against Australia in almost 3 years.
2nd ODI (Sydney) Australia won by 17 runs
3rd ODI (Brisbane) Match abandoned without ball being bowled due to heavy rain preventing the series decider from taking place.
For more information about the ODI competition, see : 2004–05 Chappell–Hadlee Trophy.