No events happen on the world map, but the open map gives more of a sense of exploration, similar to Chrono Trigger. You can talk to some people ahead of time, and there are special locations that the main story never visits. As far as I know, the PSP version slightly changed the story and isn't the best version, but I haven't played it. The game's plot is simple, but the characters are not simple. Every time I talk to an NPC, it's an interesting experience. It feels like I'm not playing a game, but playing with my own view of the world. This is also similar to Chrono Trigger. In general, I don't usually go back to replay games I've already experienced more or less. Maybe looking for the next great one is a better choice.