The last time the government shutdown, because Congress did not do their job, was on September 30, 2013. Over the weekend, the major impact will be the recreational-based activities including the National Parks and the Smithsonian Museums—although many of these agencies will remain mostly open using what is called “carry-over funding” which are services whose bills are paid but the agencies are owed the services. It is an accounting trick that can help some agencies up to 72-hours during a shutdown depending on the amount of money and to whom it is paid.
Thankfully, the Washington, D.C. government will pick up the trash and provide basic cleanup services on the National Mall and other areas that would normally be taken care of by the National Parks Service.
Should the shutdown last through Monday, both the U.S. Mint and Bureau of Engraving and Printing will be operational. Both organizations are funded from their profits (seigniorage) which is held in their respective Public Enterprise Funds. The only responsibility that Congress has in their funding is to authorize the spending of the money. That authorization is not impacted by the shutdown because these are not (technically) taxpayer funds.
Since the U.S. Mint and Bureau of Engraving and Printing are self-funded, they are also not subject to the debt ceiling issues.
Although the U.S. Mint and Bureau of Engraving and Printing has not made a formal announcement, it is likely that facility tours will be suspended during the shutdown. This is because the security personnel are Treasury employees and not direct employees of the bureaus. Some will be designated as “essential personnel” and continue to work to help maintain security at all U.S. Mint and Bureau of Engraving and Printing facilities.
Security for the Bullion Depository at Fort Knox, Kentucky will not be impacted by the shutdown.
Since the Federal Reserve is an independent organization and not subject to congressional appropriations, they will remain open during a shutdown. The Office of the Comptroller of the Currency (OCC) will probably also remain open. OCC is funded by the Federal Reserve to help regulate banks.
All independent government organizations not subject to congressional appropriations will continue to operate including the United States Postal Service.
Representatives of these agencies may contact me to provide additional information. Government employees who work for these agencies that want to provide additional information may also contact me. Please note that I do respect the confidentiality of all sources!