There are 4 trophies associated with completing the game on various difficulties. Trophies are great, but having them pop during dramatic moments isn’t. They correlate roughly with the games chapters, and pop as you exit the level, making them pretty non-intrusive. I’d call this a good spread of story trophies, particularly for a game with such a heavy narrative emphasis, and they’re well implemented.
The game has 9 trophies strictly tied to story progression (10, if you count Toaster in the Tub, which you’re instructed to do, but isn’t technically required), accounting for about 17% of its list. To avoid spoilers, I won’t include an image. The least interesting part of BioShock’s trophy list are the story trophies, nearly all of which are hidden, so let’s take care of them first. The achievement list omits two trophies (discussed under Difficulty below).
Interestingly, the lists are different across Xbox and Playstation, which is extremely rare.