Batman Begins is the most obvious example: As batman he turned his fear into a weapon against criminals.
In Empire of the Sun his childlike outlook on life helped him to continue functioning within a Japanese POW camp. His astounding confidence and optimism helped uplift everyone else in the camp.
As Alfred Borden in The Prestige he had to overcome some astoundingly scary situations, including cutting off his own finger and sacrificing his life so his brother could live.
He landed himself in a Vietnamese POW camp in Rescue Dawn, with a similar result as Empire of the Sun. His die-hard optimism made it possible for him and his colleagues escape despite the fear and depression hey had accumulated over the years.
As John Preston in Equilibrium Bale had to overcome an entire society’s worth of twisted morality to restore his and everyone else’s humanity.
As Jack Kelly in The Newsies he led a city-wide strike against the newspaper tycoons.