Asura Cross - it's a great fighting game that includes several modes. The game also has a story line that depends on your actions. Ie there is no definite ending, you create it yourself! As for the arcade mode, you can try yourself in training fighting game to pump skills or character in a real fight with other players.
If you want to go through the storyline, then concentrate and try to solve all the puzzles, because it will depend on them the outcome of the game.