Star Trek: Through The Years The Starship Enterprise is seen in the opening scene of Star Trek the Original Series from Season 1: Episode 1 "The Man Trap." 8., 1966, to the last episode on June 3, 1969, when Capt. James Kirk loses his consciousness to a woman determined to kill him, "Star Trek" has taken its viewers "where no man has gone before." CBS Paramount Television/Getty Images