The Philippines signed their first (and currently only) working holiday visa with New Zealand in 2014.
Guides
The Philippine working holiday visa for New Zealand citizens
About
New Zealanders between the ages of 18-35 years are eligible to apply for 43 long stay visas under the working holiday schemes New Zealand has agreed with other countries.
40workingholidays.com has guides on how to apply for the visas, and how to get setup once you arrive.