Bruce Wayne/Batman (Michael Keaton)’s Timeline and Summary

Batman intimidates some thugs atop a building.
Bruce Wayne, out of the batsuit, flirts with Vicki Vale.
He has to turn off the charm and turn on Bat mode when Jack Napier gets into a fight with police at Axis Chemical.
Batman tries to restrain Napier, but the criminal falls into a vat of acid. Whoops.
After a nice date with Vicki Vale, Bruce lies to her because he doesn't want her finding out he's really Batman.
When he sees Joker kill a man in public, Bruce realizes that his true identity is Jack Napier.
He soon rescues Vicki from Joker and foils Joker's cosmetics plot. Now he'll never be the next Cover Girl.
Bruce also learns that Joker, as Jack Napier, killed his parents, which makes him want to stop the clown even more.
Batman ruins Joker's plot to gas half of Gotham City, then pursues him to the top of Gotham Cathedral.
Batman saves Vicki and fights Joker, a battle that ends when Joker falls off the cathedral to his death below.
To keep Gotham safe, Batman makes a charitable donation to the city: the Bat Signal. Justice never sleeps.