The superhero-themed Lego games are unusual in that they're rarely homages to specific movies—unlike Lego Star Wars or Lord of the Rings or Indiana Jones, the Lego Batman games tell original stories, with a few nods to the comics and movies that inspired them, rather than recreating whole scenes in slapstick-brick form.
That's changing with Lego Batman: Legacy of the Dark Knight. The reveal trailer included nods to the Christopher Nolan movies, with Bruce Wayne going through the Batman Begins training sequence, a Lego Joker quoting Heath Ledger, and a Lego Bane recreating a scene from The Dark Knight Rises (though voiced by Matt Berry, which is an inspired choice).
