Superman actor Henry Cavill has said that 2016's Batman v Superman: Dawn of Justice is not a sequel to Man of Steel but something seperate. That's led some people to speculate that an actual Man of Steel 2 movie could come after Batman v Superman, but not so fast according Batman v Superman director Zack Snyder.
“I think in a way Batman v Superman is Man of Steel 2,” Snyder told Canoe. “Justice League is kind of the transcendent, knights-of-the-round-table of the story. It’d be interesting to think about what a standalone Superman movie might be.”
The disconnect between Cavill and Snyder's remarks leave some questions about the future of DC's films. If Batman v Superman does count as Man of Steel 2, does that preclude the notion of accurately numbered Man of Steel movies? Batman v Superman being a Man of Steel sequel doesn't preclude the notion of a third Superman movie, but it does raise the question of what it might be called.
In some ways it's all semantics until a new Superman movie is announced (whatever it might be called), but going deeper it does show how Snyder views the 2016 movie as compared to Cavill.
Furthermore, Warner Bros.'s current DC film slate, which extends all the way to 2020 doesn't have a second Superman movie scheduled - nor does it have a standalone Batman movie. However, earlier this year, reports began to circulate that Ben Affleck was in talks to direct a Batman solo film, possibly co-written by Geoff Johns. Nothing has been confirmed at this time.
Batman v Superman: Dawn of Justice hits theaters March 25, 2016.