Star Alliance has a few whitespots - Australia domestic and India domestic come to mind...
Incorrect and incorrect come July 31st.
Australia domestic - Tiger Airways Australia is an affiliate member (the Tiger Airways franchise is owned by Singapore Airlines, a full member of Star Alliance since 2000 which means travellers reap the benefits on Tiger Airways Australia as they do on any other Star Alliance flight), and Virgin Australia is also looking at a possibly membership with Star Alliance. Also, Air New Zealand is a full member of Star Alliance and flies some routes in Australia.
India domestic - Air India and it's subsidiaries will become full members of Star Alliance come the end of this month, and the airline is already codesharing with 7 Star Alliance airlines. Also, Jet Airways is set to join when the deal comes together (unknown as to when at this point).
Star Alliance all the way!

Cheers,
ICEcold