I'm a fan of finding satellite media related to what I'm currently enjoying to add a bit of cultural breadth to the experience. Think reading The Road and playing Fallout 3 or Heart of Darkness after watching Apocalypse Now.
Infinite is stuffed with ideas so lends itself well to this. There's probably even more potential here between the time period and various themes to explore in other media than the original Bioshock had. I'm calling it a reading list for lack of a better term but any kind of media is welcome.
I'll get us started, chip in with whatever the game reminded you of or things you think would be good to get into for those who've finished the game and want something more. I'd like to add to this, these are just the best I can come up with right now.
The Reading List
This seems to me to be a good place to start, since the man himself (Ken Levine) cites it as a primary inspiration for the ideas and setting of the game. Not read it yet but intend to. As far as I know it's about a series of murders taking place against the backdrop of the 1893 Chicago worlds fair.
- Jim Crow Laws
A particularly good essay also set during the Chicago worlds fair (which happens to be where the city of Columbia debuted to the world) is African Americans in 'The White City:' The World's Columbian Exposition of 1893.
A short story recommended by a user in another thread (can't remember who, sorry) about time travel. Can't say I personally enjoyed it but it's short and worth a look.
A great, period appropriate movie which explores the American exceptionalism/ religion angle with a character not dissimilar to Comstock in many respects.
- The Prestige
Novel or movie. Fantastical use of science in turn of the century America.
Good for a better understanding of the Luteces and their inspiration.
"A fictional collage of stories dreamed by Albert Einstein in 1905, when he worked in a patent office in Switzerland".
- America: 1900
A PBS documentary Ken himself recommends. I'm in the UK so can't check this out but it sounds like a good shout.
Multiple Universe docs: Plenty of them to choose from, Youtube has you covered. Maybe this one? Surely there's a Brian Cox one out there somewhere.