Super Mario Run is already out and as announced by Nintendo before, it will be have many other games it will introduce to mobile. Prior to Mario, Nintendo had released its social messaging app Miitomo. Also, Nintendo has a five-game partnership deal with DeNA which means there are three more Nintendo games coming on the way.
Before making some educated guesses, it's also been confirmed that Animal Crossing and Fire Emblem are already on their development stages so the big question is which game will be next after the above-mentioned games. Here are a few guesses.
3DS will have their Pikmin and most probably Nintendo Switch will also hvae its own so it only makes sense that it will come to mobile, too. There's nothing much better than controlling alien ants with one hand while relaxing with your smartphone.
Legend of Zelda
Legend of Zelda is one of Nintendo's most successful game franchises so it doesn't make sense that Nintendo will not consider it for mobile. It would be interesting to see how Nintendo will do that considering the vastness of the game.
Nintendo on mobile can come in two ways - Yoshi's Touch & Go and Yoshi's Cookie. The first one let's you throw eggs at your enemies and is perfect for mobile's touch screen. The second, Yoshi's Cookie, is a puzzle game which is also perfect in the mobile platform.
Nintendo would be a fool if they just limit Mario to Super Mario run. Besides, Mario has a long history in RPG. Also, RPG's don't require fast, responsive controls which works well in mobile.
Mario Kart sold more than 35 million copies on Wii. Smartphones can also provide gyro-like controls similar to Wii's motion steering on mobile. This worked well with Angry Birds and there's no reason it can't work well with Mario Kart.