As of May 2023[update], the company operates major maintenance facilities in Indianapolis, Miami, Oklahoma City, Rockford, Illinois, Trois Rivieres, Quebec and Windsor, Ontario.

In addition, AAR operates sales offices from locations in London, Crawley, Paris, Rio de Janeiro, Tokyo, Shanghai, Singapore, and Dubai.

[5] AAR organized its Aircraft Turbine Center, Inc. in 1979 after future CEO David P. Storch, Eichner's son-in-law, joined the company.

Naval Air Systems Command awarded AAR a $118M contract for procuring, modifying, and delivering two C-40 aircraft to the U.S. Marine Corps.

[10] In April 2021, AAR signed a multi-year agreement with United Airlines to provide heavy maintenance services in Rockford, Illinois.

AAR plans to add up to 250 more aviation maintenance technician (AMT) jobs at the facility to meet increased demand from United.

[11] AAR announced its plans to buy Triumph's (TGI) Product Support Group for $725 million in an all-cash deal on December 21, 2023.

[16] After completing a pilot program with United Airlines, AAR announced in October 2024 that it is digitizing maintenance, repair, and overhaul (MRO) operations across its facilities, with the initiative intended to improve efficiency.