Ten Little Indians (1965)

Plot: Eight disparate people, who have never met each other or their host, are invited to an all expenses paid weekend house party at the luxury mountaintop mansion of the wealthy U.N. Owen. Unless one is an experienced mountain climber, the mansion is accessible only via gondola. Those eight are Dr. Edward Armstrong, actress Ilona Bergen, private detective William Blore, Judge Arthur Cannon, Owen's new assistant Ann Clyde, engineer Hugh Lombard, General John Mandrake and pop singer Mike Raven. Even Ann and the two housekeepers, husband and wife Joseph and Elsa Grohmann, have never met Owen. Upon their arrival, Owen is nowhere to be seen. However, he leaves them a tape recorded message stating that each of them, including the Grohmanns, is responsible for the death of an innocent person or has caused murder. All around the mansion are references to the nursery rhyme Ten Little Indians, including a miniature statuary of ten little Indians. After one of the guests dies from arsenic poisoning, he who admitted before his death his guilt in the incident mentioned on the tape, one of the Indians from the statuary goes missing. The remaining nine guests, who are stranded for at least two days since the gondola has broken down for the weekend, know that Owen's mission is to kill them all, a missing Indian on the statuary a sign that yet another one of the ten has died. As they search the mansion and find no trace of anyone else, they come to the realization that Owen is one of them. This discovery leads to suspicion of the others as Owen as they try to evade Owen's planned end for them. But as one by one the guests are killed, it narrows down the one who is Owen