I feel that the original was the better game. Here is why. I enjoyed infinite by the way... its just my opinion
First, most importantly, the city. Rapture had better atmosphere. You would be walking down a flooded dark corridor and look out the window to see a body drowned, floating in the sea. The lights would be flickering and suddenly a shadow would pass infront of you. Then you would hear a giggle in the vent above. Or enter a room and loot a desk and suddenly fog would fill the room and when you would turn around a splicer would be directly behind you just staring. Also each level was more like a mini sand box to explore unlike Columbia. Soldiers field and Emphoria where too small and didnt have as much detail. Think about Bioshock 1 and the level, the medical pavillion or Fort Frolic.
Second, the antagonists. In Bioshock 1 you fought splicers. Citizens of Rapture who have gone mad from overdose on adam. They are deformed have powers and are over all creepy. Infinite you just fight , founders who are practically cops or Vox who are rebels. Its just boring. They dont shout to themselves ad sing creepy songs like the splicers do while the roam the darkened halls. "Jesus loves me for the bible tells me so.." Comstock wasnt as interesting as Ryan but I cant really think of reasons why. Maybe because Adnrew Ryan was more relatable. I understood where he was coming from, Half the quotes he says I agree with. I am a atheist so Comstock wasnt anything to me like Ryan was. Ryan made quotes like, "God didnt plant the seeds to Arcadia, I did." "A man chooses, a slave obeys." "We all make choices but in the end our choices make us." "What is the diffrence between a man and a parasite? A man build creates, a parasite asks, wheres my share?" I just now tried looking up Comstock quotes but none were even intresting enough.
Third, the gameplay. They dumbed it down. Simple as that. Only two weapons at a time? No more u invent stations? I hate it when you upgrade a gun it doesnt change its appearance like Bioshock 1 did. Also the guns where better in Bioshock 1, they looked cooler as well. They took away my favortie weapon, the crossbow. Very Call of Duty/Halo to only carry two guns if you ask me. Skylines were cool but lack luster. Look back at the e3 2011 demo, the game looked better then.
Fourth, the story. Its story was good, dont get me wrong but it wasnt as intense. It had goofy funny moments and ackward moments, like the jam session in the bar? It felt really pushed to me. Also the ending was unoriginal. It wasnt bad but it just didnt impact me like the "Would you kindly" twist. To be fair Bioshock 1 had a pretty bad ending. I guess I am just talking about the plot twists. Multi universes? You are Comstock? I guess because I played through Ni No Kuni a few months back and it has the same plot twist I felt worn out. I can see why people think its ending is amazing but not for me. I read Stephen Kings Dark Tower novels so the ending was just stale to me. Songbird was lame. He was only in the game a few times, all scripted. I was expecting a epic boss fight so it was a cool twist when you actually use him in the final battle but that scene was also very dry. Really about vigors? Plasmids had such a better story. Adam found from sea slugs in the bottom of the ocean that cured the blind and healed the wounded and then it gets turned into weapons that drive people mad after prolonged use. In infinte, Fink just looked through tears to discover vigors... Okay? Cool I guess?
Even after everything I just said I still enjoyed the game, it was better than most fps shooters out there but now go back and play the original. It still has good graphics and still has fun gameplay. It takes skill and statedgy to play not run and gun shooting. Just because the main charecter is silent doesnt mean its bad. Hes just a conduit for you to expirence Rapture.