Kiss Marry Kill
The one everyone already knows how to play. Three famous faces turn up, you hand out one kiss, one ring and one grave, and then defend it.
PlayPick a game
Three games, three different flavours of bad decision. One deals you people, one deals you countries, and one makes you rank before you've seen who else is coming. Which one you want mostly depends on how much you trust the group.
None of them need an account and none of them take longer than a couple of minutes. You finish, you get a link, and everyone who opens it plays the exact same round, so you can find out who in the chat has been quietly wrong this whole time.