The number of people flying to Argentina increased by 150 percent over the previous year, while Brazil saw a 50 percent increase, and Peru 40 percent.
Flight Centre general manager Sue Matson says the increase in connecting flights is attracting a wide variety of travellers to South America.
"South America would have, once upon a time, been considered quite an intrepid destination and you would have had more of your backpackers - that's certainly changing," Matson said.
"People can fly over to Buenos Aires with their airfare and then get over to Rio and stay in an amazing hotel around the beach."
Freer says Asian destinations also experienced increased growth with travel to Vietnam growing by 45 percent, making it the fourth fastest-growing travel destination nationwide.
Direct flights between Auckland and Ho Chi Minh City started in June of this year and Freer says this was largely responsible for the increase.
"Vietnam has opened up as a popular holiday destination to compete with other mid-haul spots such as Thailand and Bali."
And the Pacific has not fallen off the radar either with a large increase in the number of Kiwis travelling to New Caledonia.
"More Kiwis are realising New Caledonia is only a short three hour flight from Auckland - and it offers a new opportunity for a Pacific holiday destination which may not be your traditional Raro or Fiji."
For 2017 Freer expects Kiwis to take more advantage of stopovers in Asia on their way to Europe.
Matson says Asia is an easy way to get into Europe and two new Chinese airlines, while targeted at Chinese travelling to New Zealand, could drive airfares to both Asia and Europe down further for New Zealanders next year.
"They need to fill their planes back up again when leaving, that drives a lot of healthy competition with a lot of our legacy carriers."