Lost Island is a German 3rd POV point-and-click adventure game with English
dialogues and subtitles.

Tim and Diana, walking home at night, meet a couple of men dressed like 17th
century pirates who are loading something on a cart. Disturbed by the couple,
a man with a wooden leg shoots Diana with a laser gun and she vanishes. In the
fight Tim is also shot and disappears as well, and materializes naked in a
deep crater, somewhere in a different time period. Before you are on your way
to find Diana and return to your own time and place, you have to find some
clothing and find a way to get out of the pit.

Missing on Lost Island