Which Australian Lottery Has the Best Odds? Lotteries in Australia include various lotto games licensed by Australian lottery companies. Lotteries operators are licensed at a state or territory level, and include both state government-owned, not-for-profit and private sector companies. Most major Lotteries have now moved into the online marketplace. So, the best Australian lotteries are the Monday Lotto, Tuesday Lotto, Wednesday Lotto, Thursday Lotto and Saturday Lotto The most popular lotteries in Australia are the three standard 6/45 Lotto games.