In 1983 Kiwi won the Melbourne Cup. Kiwi was trained by Snowy Lupton and ridden by Jim Cassidy. Kiwi died in 1995, in New Zealand.
New Zealand has never won a Cricket World Cup
My resources (wikipedia) tell me that Rogan Josh won the Melbourne Cup in1999
Efficient won the 2007 Melboune Cup.
A horse named Efficient and his jockey M Rodd won the Melbourne Cup in 2007.
Archer won the very first Melbourne Cup, in 1861.
The Melbourne Cup.
Nimblefoot
shocking
Dunaden, supposed to be ridden by Craig Williams but in the end ridden by Christophe Lemaire, won the Melbourne Cup in 2011
Shocking.
Shocking
Hyperno.