FAA Activities That Will Continue During a Shutdown

• ATC Services
• Air Traffic Controller Hiring
• Field Training of Air Traffic Controllers
• Maintenance and Operation of Navigation Aids and Other Facilities
• Flight Standards Field Inspections
• Airworthiness Directives
• Airmen Medical Certifications
• Certification Activities Including Controller Medical Clearances
• Facility Security Inspections
• Hazmat Safety Inspections
• Support Functions Necessary to Provide Timely Payments to Contractors and Grantees
• Airport Inspections
• Existing Airport Development Grants
• PFC Approvals
• Airport Planning and Environmental Services Funded by AIP
• IIJA Activities
• Training at the Academy for New Air Traffic Controllers

Here is the Department of Transportation shutdown plan.

TSA Activities That Will Continue During a Shutdown

• Activities Necessary by Law, the Constitution, Safety, Protection of Property
• Law Enforcement Operations
• Passenger Processing and Cargo Inspection at Airports and Ports of Entry
• Vetting and Adjudication Activities for Aviation Workers, TWIC Holders, etc.
• S. Secret Service Protective Functions
• Counter-Terrorism Watches and Intelligence Gathering and Dissemination
• Disaster Relief Fund Activities
• Fee-Funded Activities

Here is the DHS shutdown plan.