Carrier supported February 2016: Eparcel domestic, Fastways, DHL Express, Courier Please. Courier-Post, New Zealand Post.
Requirements: The carriers have to be active in ShipIT. The ShipIt Magento app has to be installed (The app is available for free on Magento connect)
Q. The address auto-completion doesn't populate the State field
A. You will need to modify the following two files to accommodate their State field.