We had no problems. We had owned our own home for 20+ years before arriving, so had no landlords references. However we had stayed in furnished holiday rental for a couple of weeks so the landlords accepted that as one reference, and they contacted my old employers for another.
Think they really just want something from someone who will say that you are good, reliable and relatively neat and tidy and don't cause mass mayhem and destruction!
A friend in OZ had the same problem and the solution there was to increase the bond paid.
I doubt that you will find it too much of a problem though.
I'll spread my wings and I'll learn how to fly,
I'll do what it takes until I touch the sky
Arrived Christchurch 27th June 2010
Start work 6th Sept 2010