The Federal Reserve Bank of New York’s page The Labor Market for Recent College Graduates has a number of graphs related to employment for recent and not so recent grads. For example, their graph here is the percent that are underemployed defined as
The underemployment rate is defined as the share of graduates working in jobs that typically do not require a college degree. A job is classified as a college job if 50 percent or more of the people working in that job indicate that at least a bachelor’s degree is necessary; otherwise, the job is classified as a non-college job. Rates are seasonally adjusted and smoothed with a three-month moving average. College graduates are those aged 22 to 65 with a bachelor’s degree or higher; recent college graduates are those aged 22 to 27 with a bachelor’s degree or higher.
There are graphs for unemployment, underemployed job types, wages and a table of outcomes by major. In all cases the data can be downloaded.