Just announced today, 2K Games are bringing Bioshock to iOS devices sometime this year. Even with the game being scaled down for mobile devices, you will still need to have a fairly recent iOS device in order to experience Rapture again. There is also support for third-party controllers via bluetooth if using virtual analog sticks are not your thing.
The team behind this port is also the same team that brought us XCom: Enemy Unknown for iOS devices. Even though 2K China did an excellent job with the XCom port, I can’t see Bioshock doing as well in terms of sales. Touch controls are fine with turn-based strategy games but are rarely adequate for first-person shooters. Although you can use a bluetooth controller, it is less than ideal to carry a extra device with your phone or tablet just to play one game.
Source: Polygon.com