2K announced that a new BioShock game is in development. It'll be "several years" before we see it in action, but development is being run by the newly formed game studio Cloud Chamber, based in San Francisco and Montreal. Kelley Gilmore, whose credits include Civilization and XCOM, is heading up the team.
Next BioShock Game Announced From New Studio - GS News Update
Would you kindly…be patient.