Finally found what I was looking for.

Heads up, this is not the single player tile matching game!

It took a long time of filtering through Mahjong Solitaire apps, but this is indeed what the screenshots make it out to be. The game does play very quickly, and there is no online multiplayer option. I will agree with the previous review that this game is not for beginners or simple fans of Mahjong Solitaire (the tile matching game), but for those like me who are just dying to play some traditional Mahjong this app provides.

MortalHunter about Mahjong Demon