Shocker its to the Top with Bioshock!!
The final game in the Bioshock Trilogy to have its story written by Ken Levin, the game wraps up the story with a great ending, summing up the entirety of the series. Having great gameplay, and of course bad guys you WANT TO KILL you will have a blast murderizing all of them with your vigors (plasmids) and guns, they are all Flyin' Racists!! Don't forget to pick up Burial at Sea Parts 1 and 2, as alongside Bioshock Infinite and the other 2 games, you need to play this DLC if you want the full story experience. Chronologically Speaking, your best experience in terms of the story would be:
2. Bioshock 2
3. Bioshock Infinite
4. Bioshock: Burial at Sea Part 1
5. Bioshock: Burial at Sea Part 2
Have fun, and hope if a sequel comes by that its story will be good.