We can now view up to 1920, so fingers crossed you can find some relatives amongst the school children listed in the rolls. While not all class years are available as in the earlier decades, the senior classes are all available.
Thames Central School - Standards 3-5
Thames North School - Standards 3-5
Thames South School - Standards 3-5
Below is part of the files for Thames South School, Bowen (later Rolleston) Street, Thames.
As you can see there is alot of information that can be learnt from the review of school records.
There is the child's name and age, along with results of certain examinations
Thames South School - part of the Standard 3-6 Records for 1920
Archway Item ID:R22143779, Archway Series Number:4135
Thames Central School, now the site of the Thames Museum
North School, now the Thames Arts Centre,
Thames South School, still on the same site, with a new buildings.
Archives New Zealand does not just specialise in 'old' school records for Thames. You can also view Education Reviews for recent years.
The category is under: Education Review Office Standard Education Accountability Reviews - Final Reports. Years covered vary from 1990s to 2000s.
Search "Thames school review" to easily find most of the matching files.