While I'm in a Bio Infinite thread, may as well ask: How do the Bioshock games rank?
I'm currently on my first playthrough of Bio 1.
Bioshock 1 - Great plot, some may argue it's pretentious, but to me it didn't seem so. The gameplay is...creative, it's good. It has a great art direction.
Bioshock 2 - The plot is very different from the first one, thematically, it's more of a classic tale, not as smart as the first. The great art direction stays and the gameplay is slightly improved.
Bioshock Infinite - I feel the plot is a mix of the other two, with sci-fi added. The story is, to me, fantastic, and it's very well presented. The gameplay is dumbed down, and sometimes inconsistent with some themes of the story, but I had fun with it, since I was focused on the story and atmosphere more than the mechanics themselves. Brace yourself for a very frustrating boss, though.
All of them have amazing art, great use of music, and brilliant atmosphere. They differ on the gameplay and plot.
Bioshock 2 can get a bit tiresome some hours in, but keep going, it pays off. 1 and Infinite flow better.