The Intruder (1933)

Starring Monte Blue, Lila Lee, William B. Davidson, Gwen Lee, Arthur Housman
Directed by Albert Ray
(actor & director credits courtesy IMDB.com)

After a murder takes place on an ocean liner, the ship is wrecked during a storm, and the murder suspects and a police detective are stranded together on a jungle island.

Although otherwise a routine mystery, the film's island setting makes this an intriguing one, with wild gorillas and a crazy castaway also inhabiting the island.  Humor is mined from that castaway, (leading up to a pretty funny sight gag), and a perpetually inebriated character, who's not quite as amusing.  All in all, it's an entertaining time-passer which makes good use of its locale to stand out from other entries in the genre.