Capcom World 2 was released in arcades in 1992, for the CPS-1 board. It is a quiz game which was only released in Japan. I've not played any of the other games in the series, but I think this is the only one to have Final Fight cameos in it (I think!). After choosing a character, you can pick a path and go through Capcom related stages, such as board set in Ken's Street Fighter II stage and more. One of the boards is Final Fight related, with a look somewhat like the West Side level from the original game.
Gameplay involves throwing a dice, which will let you move a certain amount of spaces on the board. When you land on a space, you will most likely be challenged by a Capcom character to answer some questions. All of the questions are multiple choice, and you have a certain amount of time to try and answer. The faster you answer, the more points you get. Getting a question wrong will lower your character's health gauge, and if that is emptied then it's game over.
The Final Fight characters who make an appearance in this game include Cody, Guy, Haggar, Rolento, Sodom and more. Along with the arcade release, the game was later released for the CPS Changer system -a Japanese only system which is incredibly difficult to get hold of, as are the games.