In Japan, video games are called "TV games" (terebi geemu). Here's a look at video games that have been turned into tabletop entertainment. Think TV games, but minus the TV.
The vast majority of the games are Nintendo-related, showing the strong cultural impact Nintendo has in The Land of the Rising Sun. When kids aren't playing Nintendo video games, they can play Nintendo board games.
The Mario Kart toy isn't a board game per se, but definitely has a game-like element to it.
Oh, and be sure to catch the cameo by Anpanman!