Having watched Squid Game (2021 - ), I have the feeling that, while it is very different from Battle Royale (2000), there are a number of elements that the two works have in common, in the way that the game is depicted:
people are gassed into artificial sleep and kidnapped to a deserted island;
the game is extremely lethal - there is expected to be exactly a single survivor;
the players die either when eliminated by game rules, or at the hand of one another (importantly, there is not a "hunter" type of player who are supposed to kill the non-hunter players);
the game takes place in the contemporary world;
the PA system regularly plays Classical European Music;
Does Battle Royale establish an archetype of such "absolute lethality games in the modern world"? Or can most of the listed elements be found in previous works of cinema/TV?
Reading through the Wiki page of Squid Game, it seems very apparent that Hwang Dong-hyuk, the screenwriter and developer of the series, was very derivative in many aspects of the series. He used the actual names of childhood friends (for not just one, but several of the main characters), and he admittedly was influenced by Battle Royale, Liar Game and other Japanese survival manga. It's very probable that he took the idea of playing music over a loud speaker directly from Battle Royale, and the rest from other survival manga sources.