Every single market in Asia has the equivalent of an S&P 500 Index. But typically the big cap names you seem to be attracted to are not cheap; real value in my experience can only be found outside the well known big-cap names.
Do a bit of research online; every major Asian exchange I invest in has an English language website that contains information about the exchange itself and the companies that trade on the exchange. In a few rare cases you can open accounts in local currencies and begin trading online.
There is lots of value out there — stocks trading on 3-4x earnings, stocks trading at a discount to net cash — but you won’t find it in the big index components, nor will you find it among the tiny handful of names that have issued ADRs.