Oh RPG

I am one of the few earlier jRPG series that introduced open world exploration.
I can kill off characters permanently if they run out of life points. Not health points.
I abuse random numbers quite alot.
I reward you with no experience points, but rather tiny sums of hp gains and weapon level gains. Stats? Throw them out.
I am quite famous for light bulbs. They give you instant skills.

Most importantly,

I am an RPG that always keeps you on your toes. No one gets an advantage over anybody.

Can you guess which game I am?