- Star Trek: The Motion Picture
- Star Trek II: The Wrath of Khan
- Star Trek III: The Search for Spock
- Star Trek IV: The Voyage Home
- Star Trek V: The Final Frontier
- Star Trek VI: The Undiscovered Country
- Star Trek Generations
Jean-Luc Picard's friend from the Academy, Corey Zweller, was assigned to this ship upon graduating. It was also one of two Starfleet ships whose increased warp engine performance is supposed proof of consultant Kosinski's theories, who went from there to the U.S.S Fearless to the Galaxy-class U.S.S. Enterprise on stardate 41263.1. The Ajax was also one of the ships in Captain Picard's blockade fleet on the Klingon-Romulan border on stardate 45020.4.