There are many companies around the world that employ Aircraft Maintenance Engineers (AMEs) and provide aircraft maintenance services. Some examples of companies in this field include:
Airlines: Many major airlines have their own maintenance facilities, where they employ AMEs to maintain and repair their aircraft. Examples include American Airlines, United Airlines, Delta Air Lines, and Lufthansa.
Aerospace manufacturers: Companies such as Boeing, Airbus, and Bombardier manufacture aircraft and also have their own maintenance facilities.
MRO (Maintenance, Repair, and Overhaul) providers: There are also companies that specialize in providing maintenance, repair, and overhaul services to airlines and other aircraft operators. These companies are known as MROs, and they employ AMEs to perform maintenance on a wide variety of aircraft types. Examples of MRO providers include Lufthansa Technik, GE Aviation, and HAECO.
Government-owned companies: Some countries have their own state-owned aircraft maintenance providers like Indian Aircraft maintenance & engineering company Limited (IAMECO)
Independent Service providers: There are many other independent companies that provide aircraft maintenance services as well, These companies are not tied to specific airlines, aircraft manufacturers, or other specific industries. Examples include Dallas Airmotive and Vector Aerospace.
Its important to note that the above list is not exhaustive and there are many more companies that provide aircraft maintenance services, depending on the location.