Macro Data:
China Statistical Yearbook & China Labor Statistical Yearbook
Micro Data:
Urban Household Survey: not open access (I found some data from some papers' replication package)
China Labor Force Dynamics Survey: Download here: https://www.scidb.cn/en/detail?dataSetId=36d6d9d24afc4bc8a5ce0da5feaf22ff
CHFS & CFPS: Relatively contemporary data; open access (But it's getting hard for people outside China to get the data through online application)
CGSS: open access (Apply here: https://www.cnsda.org/index.php)
Research Center for the Rural Economy (RCRE): not open access
1% Census data (1995, 2000, 2005, 2010, 2015): Basic demographic variables available
Chinese Employer-Employee Survey: Open access (Apply here: https://www.cnsda.org/index.php)