The Last Crusade sought to extend the adventure game genre by allowing for different way to progress through the game and a points system that changed based on your solutions. It mostly follows the plot of the film. I added the FM Town version so you can hear the difference in music quality.
More info from Wiki : “As the game begins, Indiana Jones has returned to his college, after reclaiming the Cross of Coronado. He is approached by businessman Walter Donovan, who tells him about the Holy Grail, and of the disappearance of Indy’s father.”