READ MORE: Coroner: Breastfeeding mothers should not consume alcohol, after baby dies with high alcohol level in blood
AANZ say it's been 10 years since the New Zealand Law Commission reviewed alcohol laws, which it claims were ignored by John Key's National-led government.
Now, Jacinda Ardern's Labour-led government is doing the same, it says.
Along with the thousands of premature deaths, the group says alcohol has contributed to 700,000 physical and sexual assaults, up to 30,000 children born with alcohol-related brain damage and more than $70 billion of social costs.
However, Spirits NZ chief executive Robert Brewer disputed these figures saying they were based on inaccurate studies.
"That $70 billion figure was based on a study that has been widely declined by leading economists as being inaccurate because it double counts the cost of excise payments for a start.
"It also doesn't count the social benefit of alcohol - if you drink moderately and are a relatively healthy person statistically you live longer than someone who does not drink at all," Brewer said.
AANZ medical spokesperson Doug Sellman said the figures were based on findings of three separate studies published as peer reviewed articles in scientific literature, and work undertaken by economic organisation BERL.
There had been very little change over this past decade apart from a small downward trend in per capita consumption of alcohol, probably as a result of the 2008 Global Financial Crisis.
Sellman said the current Government's focus on wellbeing must bring it to the realisation that alcohol had devastating effects on New Zealand families and communities, and we all paid the price.
AANZ chairman Geoff Robinson said the big winners from the continuation of New Zealand's damaging drinking culture were alcohol businesses.
Ministry of Health deputy director-general mental health and addiction Robyn Shearer said they recognised the impact alcohol could have on individuals and communities.
"We're committed to supporting the findings from He Ara Oranga, the government inquiry into mental health and addiction.
"We're actively exploring the inquiry's recommendations around treatment services and new models of care," Shearer said.
Earlier this year a study published in the prestigious Lancet journal showed New Zealanders were drinking much less than 20 years ago, bucking a global trend of rising alcohol consumption.
Millennials were said to be partly driving the trend, as the younger generation were increasingly risk-averse and health-conscious.
But despite the drop in consumption, one-in-three New Zealanders were still binge-drinking regularly, the research found.
READ MORE: Lancet study shows New Zealand's alcohol consumption falling, against global trends