Elaan of Troyius (1968)

While transporting an arrogant, demanding princess for a political marriage, Captain Kirk must cope both with her biochemical ability to force him to love her, as well as sabotage on his ship.

Helen of Troy (1956)

Shipwrecked on a mission to Sparta, Prince Paris of Troy meets and falls for Queen Helen before knowing who she is. Paris kidnaps Helen and flees to Troy, followed quickly by the mighty Greek army.