Most of us who live in the Asian time zone wait until 7am in London to trade forex. Even JPY products are better behaved in European times.
If you want to trade our times then (in approx order of opening) have a look at:
SPI (aus)
Nikkei (incl the minis and in Osaka or Singapore)
KOSPI (korea)
STW (taiwan)
HSI (yes, the best, the rock'n'roller)
Everything else is a bit too thin ... and if HSI looks thin, think of it as though it trades in 5 point moves (so all those single points are just price improvement opportunities). All tradable with that best of all brokers, IB.