The history of the Bioshock movie is well known, it was all on schedule before the studio, Universal, slashed the budget and effectively shut down the production. Gore has taken to Reddit to explain what happened:
We were eight weeks prior shooting when the plug was pulled. It’s an R rated movie. I wanted to keep it R rated, I felt like that would be appropriate, and it’s an expensive movie. It’s a massive world we’re creating and it’s not a world we can simply go to locations to shoot. “A Cure For Wellness”, we were able to really utilize a variety of location to create the world. “Bioshock” it wouldn’t work like that, we’d be building an entire underworld universe. So I think the combination of the price tag and the rating, universal just didn’t feel comfortable ultimately. At that time also there were some R rated, expensive R rated movies that were not working.
Since then there’s been a small resurgence in R-rated movies, Deadpool being the lead, and Logan is about to drop in the cinemas. Gore notes that “things have changed and maybe there will be another chance.” That said, he it’s unlikely Gore will be in the driving seat.
It’s very difficult when you’re eight weeks away from shooting a movie you really can see in your head and you’ve almost filmed the entire thing, so emotionally you’re right at that transition from architect to becoming a contractor and that will be a difficult place to get back to.
Take-Two recently announced they had licensed “a couple” of their properties to movies, and back in 2014 Sony registered domains for a Bioshock movie. A hack, which was published on Wikileaks, revealed that Sony were pursuing the movie project but nothing has been heard since then.