Count the Crimes to Cut Act of 2020 This bill requires certain reports on federal criminal statutory and regulatory offenses. Specifically, the Department of Justice (DOJ) must report to Congress a list of all criminal statutory offenses and the potential criminal penalty, the number of prosecutions brought by DOJ each year for the previous 15 years, and the mens rea (i.e., guilty mind) requirement for each offense. Further, the bill requires each specified federal agency to provide Congress with a similar list of all criminal regulatory offenses that are enforced by the agency. Finally, the bill requires DOJ and each specified federal agency to establish a publicly accessible index of the crimes that are reported to Congress.