Pretty sure Westpac, HomeLoans and maybe a couple more are. Or if your a sports star or movie star you can get 90% No LMI from a number of lenders.
Citibank do it standard, but with all the lenders that don't insure (liberty, pepper, keystart etc) you pay via risk fees and rates. A good desktop val can give you a similar outcome but without the extra costs - chat to your broker about this.
Homeloans Accelerate do it (no risk fee) - although it needs to be P/I and the rate is a little off market (doesn't really work for prices below <750k).
Westpac promo has ended. Homeloans will do it as per Redom's post above - the rate can be quite high though (just under 5%) Cheers Jamie
If your a FHOB, i think westpac has a $3.5k rebate on offer for you - depending on the purchase price at that LVR, it may fully cover LMI anyway.
Citibank has done it for quite a while. Other lenders mentioned have become involved too. When all the numbers are crunched, it is not often that one of these lenders/products is the best anyway (for loans in the 80-85% LVR range that is).