Korea's Hyun Ha Kim won the section in 1.666s.
Anthony did the 3-6-3 formation in 2.676s. Kim won again in 2.32s.
Anthony's 9.242s in the cycle was shaded by US winner Christina Shi in 6.485s.
Feilding's Ben Flighty was the Blackstacks outstanding performer, winning a trophy for third overall among all age groups in the male 3-3-3, with his 1.575s time up there with runner-up Andrew Dale (1.534s) and winner William Orrell (1.532), both of the US.
Orrell won the overall world title as fastest individual stacker across the three disciplines, while breaking world records with partner William Polly in the doubles cycle stack and timed 3-6-3 relay.
Flighty was second behind Orrell in the 3-3-3 for male 16 years, third in the 3-6-3 and fourth in the cycle.
In total, the New Zealand team won three trophies and 36 medals.