I'm actually making a game with a heavy emphasis on socialization. One of the big inspirations that I haven't seen mentioned yet is TTT, specifically the TTT mode in Pavlov VR. In that game mode, there are 1) 1-3 traitors who know who the other traitors are and can buy certain weapons 2) a detective who can buy helpful items and a scanner to test people in close proximity 3) innocents who can't buy anything, and are just trying to stay alive

Players need to work together to win, while deciding whom to trust and convincing other players that you're trustworthy. It's been a remarkable way to socialize with people while having a shared goal. I actually find it to be the most intellectually stimulating game that I play, with the possible exception of chess.