Batman: Mask of the Phantasm (1993)

Directed by Eric Radomski and Bruce Timm and featuring the voices of Kevin Conroy, Dana Delany and Mark Hamill, Batman: Mask of the Phantasm follows Bruce Wayne as a mysterious vigilante begins killing Gotham crime bosses while a former love returns to his life. The investigation forces Batman to confront his past, his relationship with Andrea Beaumont and the choices that led him to become the Dark Knight. The film was produced by the team behind Batman: The Animated Series and shares its continuity and voice cast.

Från IMDB:
Batman is wrongly implicated in a series of murders of mob bosses actually committed by a new vigilante assassin.