Yes the standard employment conditions are different from the US/Europe, and might feel a little stingy by comparison. But you're entering a new labour market. You can't compare apples with oranges. I've worked for a small company and one of the largest public sector organisations in the country. I get much better sick leave provisions here but everything else is equivalent.
It's what is dictated by legislation and many organisations don't seem to offer much in the way of benefits/conditions by way of a differentiator. I don't know why but perhaps it's cultural. Maybe it comes back to that Tall Poppy Syndrome that most kiwis have?
Another thing I've found is many organisations will only pay the minimum pension/kiwisaver contribution. Anything higher is a rarity and doesn't appear to be negotiable. But you find the odd gem. My organisation pays 9% super contribution. That's an exception. Especially in the public sector.
You can only ask. But don't be surprised if the answer is no.