And Then There Were None (1945) B&W

Seven guests, a newly hired personal secretary and two staff are gathered for a weekend on an isolated island by the hosts, the Owens, who are delayed. At dinner, a record is played and the host's message alleges that all of the people present are guilty of murder, and suddenly the first of them is dead, then the next. It seems that one of them is the murderer, but the leading person is always the person who is murdered next and at last, only two people are left. Written by Stephan Eichenberg

Source: IMDB