Bryan Singer will direct the fantasy adventure Jack the Giant Killer. The movie is being fast track, so most likely Giant Killer will be his next project that goes into production even though he has two others on the burner.

Mark Bomback (Live Free or Die Hard) wrote the story from Darren Lemke’s original work. The story follows a princess who is kidnapped, threatening a long-standing peace between men and giants. A young farmer is given an opportunity to lead a dangerous expedition to the giants’ kingdom in hopes of rescuing her. 

Even though Giant Killer is being fast tracked, there is not start date yet.

The other two projects Singer is working on are Battlestar Galactica and the remake of Excalibur.

(Source)