Final Fantasy Gaiden: The Four Light Warriors introduces the crown system, which is said to be like the job system from other Final Fantasy games. The abilities you have in battle are determined by your headgear.
Those are some sample crowns. The white hood, for example, might give a character healing abilities. Perhaps, the feathered cap makes Brand an archer. The fez and aviator cap? No idea.
Just like Dragon Quest IX and Final Fantasy Crystal Chronicles: Echoes of Time equipment changes the appearance of your characters too. Take a look at what kind of heroes you can create.