Domestic travel, regardless of mode of transportation, is governed by state regulations. Many states require a Certificate of Veterinary Inspection (CVI) from a licensed and accredited veterinarian for interstate travel. The CVI should list all current medical history, including any vaccinations and/or treatments. Rabies vaccinations are required by most states for travel.
International travel will have more requirements, as these are set by the destination country. For a complete list of requirements visit the USDA Pet travel website at https://www.aphis.usda.gov/aphis/pet-travel
Beyond local and federal government requirements, airlines may also have immunization requirements for travel. It is recommended to visit the specific air carriers website to learn which immunizations are required.