While another Superman movie isn't yet in the cards, there at least has been talk of a potential Man of Steel 2 (or whatever they name it) as Henry Cavill's manager a while back stated a new movie is in development.
Now Henry Cavill talks about doing a possible new Superman movie with the LA Times, where the Superman actor notes he is only contracted for one more picture.
“There’s a wonderful opportunity to tell the Superman story,” Cavill said. “Now there is a fantastic chance to show Superman in his full colors and tell a very complex, character-driven movie that is based on story and have that wonderful sensation of hope and happiness. A feel-good movie with lessons laced in there as well.”
Producer Charles Roven did recently offer up that a new Superman movie is a ways off, so there is no release date or official announcement.
It's possible Henry Cavill could always appear in a separate movie to fulfill his contract, possibly Shazam! or maybe even the Flashpoint movie, which many are speculating will reboot the DCEU with new actors.
Rumors for Man of Steel 2 have includes Brainiac, Supergirl and Matthew Vaughn as director.