Anscombe was much influenced by new developments in architecture, and his frequent overseas trips ensured he was always at the forefront of stylistic fashion. Following a tour of Canada and the United States in 1922, Anscombe promoted the idea of an international exhibition in Dunedin, and designed the buildings for what became the 1925–26 New Zealand and South Seas International Exhibition.
However, his most important work was the New Zealand Centennial Exhibition of 1939–40. The International style conveyed by the structures at Rongotai, Wellington, was intended to reflect New Zealand's progressive approach to the world. After the Centennial Exhibition he continued to promote various visionary schemes.