https://en.wikipedia.org/wiki/List_of_stock_exchangesThis wiki page is pretty cool, you can filter the exchanges by market caps, volume, and more importantly perhaps the opening hours? Considering ASX is pretty small/low volume compared to many There should be plenty of opportunity in some of the other local markets - Japan or India might be interesting options? There's 3 Chinese exchanges, I don't know which is "Chi-X".
Unless you're trading on a pure technical basis, might be hard to trade those exchanges however given language barriers. Otherwise, the Euro exchanges all look pretty good and open in our afternoon I think. Germany or London look okay too? I expect English speaking forums, articles etc. also probably easier to access.