In addition to many of the titles already listed:
The World Ends With You
It wasn't a typical video game story. Like the rest of the game, it was different. That alone was enough to make it an interesting story, but the quality of the story and plot twists, the balance it struck between story and gameplay, and the fact that there was a moral to it all, made TWEWY's storyline AWESOME!
Also, it did not set up or spawn a sequel. Self-contained games/plots are so rare now >.>
The World Ends With You
It wasn't a typical video game story. Like the rest of the game, it was different. That alone was enough to make it an interesting story, but the quality of the story and plot twists, the balance it struck between story and gameplay, and the fact that there was a moral to it all, made TWEWY's storyline AWESOME!
Also, it did not set up or spawn a sequel. Self-contained games/plots are so rare now >.>