Flightly finished third overall, while Anthony made the Top 10 of the female 13-14 years division and Millar earned a Top 10 placing in one of disciplines of the same grade.
In Wellington, Anthony and Millar were also joined by their sisters, Sarah Anthony and Brooklyn Millar respectively, to form a team in the timed relay to complete the 3-6-3 pyramid cups formation.
The "Wanganui Sisters" team finished third overall.
There were 50 competitors taking part in the nationals, with over 20 records potentially broken from world through to asian and national level.
The records have to be verified in the United States by the World Sport Stacking Association
Local spokeswoman Tracey Anderson said the wet weather conditions of that weekend had a big impact on the event.
"Some competitors were unable to make it through road closures to attend the competition, others had lengthy delays and although late managed to attend and compete.
"Some were stranded in the Wellington area overnight after the competition and unable to return home."