reply from TIVO :-
We have confirmed the following information with the Operations Manager at Hybrid Television Services - Licensee of TiVo in Australia & New Zealand. With "My Queue", this is a feature currently only available to Post & Play customers. Quickflix do not offer Post & Play services in New Zealand.
The "Purchases" menu will display content that you have purchased if it is valid and able to be viewed. This includes Pay per Play and content included with your Subscription.