AllGamesDelta has dug up some Bioshock: The Collection references on 2K’s website the same day that the franchise has opened up a Twitter account.
Cover art and mentions of The Collection were found on both 2K’s site and server. They’ve all since been removed. From what was there, though, it’s reported The Collection will contain Bioshock, Bioshock 2 and Bioshock: Infinite.
— BioShock (@bioshock) June 29, 2016
We’ll report on this as more comes to light. In the meantime, you might want to check out that new Twitter account.