Our subscription to Statista offers statistics on labor and employment in the US and other countries.

The Bureau of Labor Statistics (BLS), a unit of the U.S. Department of Labor, provides a broad range of data about employment and unemployment, pay and benefits, productivity, time use, etc. Look at their list of available surveys.

The U.S. Department of Labor produces unemployment insurance data and statistics. 

The International Labour Organization (ILO) produces ILOSTAT, a database of labor statistics, which includes labor statistics and estimates from over 200 countries from 1969 to present, as well as a number of other databases on labor standards, legislation and literature. For data and analysis on employee benefits, go to the Employee Benefit Research Institute (EBRI).