Cruise for a Corpse (1991, PC)

Cruise for a Corpse is a point-and-click adventure game developed by French company Delphine Software International and published by Delphine Software International (in France), British company U.S. Gold (in the rest of Europe) and Interplay (in North America). the game was also released for Amiga and Atari ST.

You play an Inspector called Raoul Dusentier is invited by his friend Niklos Karaboudjan, a rich business man, to join him on a trip with a huge sailing boat. You gladly take the invitation. Some time after starting the voyage, you are called to Karaboudjan's cabin. He has been stabbed to death. To make matters worse, you and the servant calling you get knocked out by a cloaked figure. You wake up, and the dead body is gone. Now it is up to you to investigate the case and bring the murderer to justice.

he game runs in real-time, with the different characters appearing at different places depending on the time.