Warner Bros have revealed possible names for this. We don't know whether or not they are movie titles for a Batman movie reboot, but I highly doubt it:
arkhamuniverse.com (Arkham Universe)
batmanarkahmuniverse.com (Batman Arkham Universe)
batmanarkhamarises.com (Batman Arkham Arises)
batmanarkhambegins.com (Batman Arkham Begins)
batmanarkhamdarkknight.com (Batman Arkham Dark Knight)
batmanarkhamknight.com (Batman Arkham Knight)
batmanarkhamlegend.com (Batman Arkham Legend)
batmanarkhamlegends.com (Batman Arkham Legends)
batmanarkhamnight.com (Batman Arkham Night)
batmanarkhamorigins.com (Batman Arkham Origins)
batmanarkhamstories.com (Batman Arkham Stories)
darkknightarkham.com (Dark Knight Arkham)
dcarkhamuniverse.com (DC Arkham Universe)
dcarkhamverse.com (DC Arkhamverse)
thearkhamuniverse.com (The Arkham Universe)
batmanarkahmuniverse.com (Batman Arkham Universe)
batmanarkhamarises.com (Batman Arkham Arises)
batmanarkhambegins.com (Batman Arkham Begins)
batmanarkhamdarkknight.com (Batman Arkham Dark Knight)
batmanarkhamknight.com (Batman Arkham Knight)
batmanarkhamlegend.com (Batman Arkham Legend)
batmanarkhamlegends.com (Batman Arkham Legends)
batmanarkhamnight.com (Batman Arkham Night)
batmanarkhamorigins.com (Batman Arkham Origins)
batmanarkhamstories.com (Batman Arkham Stories)
darkknightarkham.com (Dark Knight Arkham)
dcarkhamuniverse.com (DC Arkham Universe)
dcarkhamverse.com (DC Arkhamverse)
thearkhamuniverse.com (The Arkham Universe)
These don't necessarily sound like movie titles, but who knows!
I have also discovered on wikipedia that the next Batman game title is in fact Batman: Project Gotham.
Could Batman: Project Gotham be the next in The Arkham series or just a completely different thing?
And what about the Arkham names (courtesy of Comic Book)?
Sound off below.