This Galileo was nearly lost following an encounter with a space amoeba creature on stardate 4307. Spock, motivated by the loss of the USS Intrepid, piloted the Galileo into the creature with the intention of destroying it. The explosion threw both ship and shuttle clear. Spock later returned to the Enterprise. (TOS: "The Immunity Syndrome")
Stock shots from "The Galileo Seven" were used to represent a shuttle stolen from a starbase in "Let That Be Your Last Battlefield", even though the Galileo's markings were clearly visible. The model was recreated as a CGI for the remastered print of "Journey to Babel" in 2007. It shows the shuttle on approach, landing, and being prepped for launch.