"We're excited to offer our customers a direct link between New Zealand and Taipei. Demand for the three day a week service has been strong, particularly around the Chinese New Year period," he said.
About 42,000 visitors a year from Taiwan came to New Zealand and the airline expected it would grow further.
More Kiwis were expected to fly to Taipei, renowned for its food scene, lively night markets, traditional temples and shopping streets.
The direct Auckland–Taipei service departs Auckland on Tuesday, Thursday and Saturday. Taiwan's China Airlines flies the route but via Sydney.
The new service to Chicago starts on November 30 and will be the airline's longest route, taking about 15 hours northbound and 16 hours southbound.
The airline is understood to have just finalised a deal with its flight attendants who will crew the ultra-long haul route.
Wallace said it will launch two new services across the Tasman next month – between Queenstown and Brisbane, and Wellington and Brisbane.
The airline is stepping up transtasman flying after ending its joint venture with Virgin Australia last weekend.
But because of Dreamliner engine issues the airline will stop flying to Vietnam next winter.