Depositing only 1 NZ Dollar, is a good start to try with low playing slots, 20 cents, and you can play, some of these casinos give you 20 NZ Dollar's if you deposit only 1 NZ Dollar so there is nothing to say about that.
Minimum deposit only $1.00, NZ Dollar casino
Casinos also give you free money, if you play it, you can always try to deposit 1 to see if it works for you and if you like the casino, it's a good way to start. Not expensive.
1 NZ Dollar, $ minimum deposit using a VISA card, neteller, Skrill, Paypal etc..
Bet 365 (Playtech) has 1$ min deposit through SKRILL.
Some casinos accept a deposit of just 1 using UKash
The payment options in these casinos are tested and trusted