Any recommendations on stocks for China A-shares and H-shares?

Alibaba

You could opt for passive ETF stock investing.

For A Shares You could invest into:

CSOP Source FTSE China A50 UCITS ETF, ISIN DE000A1XES83

or

U.S. domiciled ETF ticker AFTY

For H Shares You could invest into:

Hang Seng China Enterprises Index ETF, HKG: 2828

​