Xbox360Achievements:

Not only one of the best story-driven games of all time, it’s one of the best games we’ve ever played full stop. With a fantastic chemistry between the game’s two central characters, one of the most stunningly realised game worlds, some excellent game mechanics, incredible production values and a frankly genius story, it’s a game that simply everyone and his dog must own.
Game informer:

Infinite is more than a new setting, story, and characters; those elements are seamlessly integrated with complex themes, a mysterious plot, and entertaining combat to create an amazing experience from beginning to end. Familiar threads run through it – a lighthouse, a strange city, a charismatic antagonist – but they are homages to the past rather than attempts to recycle it. The core of Infinite is unlike anything else on land, sea, or air.
Gamespot:

You'll be haunted by this thematically devastating adventure, and indeed, its phenomenal final minutes, which are bound to be discussed and dissected for some time to come.
BioShock Infinite could make you feel uncomfortable. If you adhere to religious faith, or celebrate American idealism, this game may invite introspection or even anger. BioShock Infinite isn't afraid to magnify the way religious and racial extremism inform our culture and change lives. It isn't afraid to depict a less-than-holy trinity diseased by power, deception, and manipulation. As the story circles back on itself, you're left wondering whether redemption cleanses us of our atrocities, or simply invites us to commit greater ones. Once the finale comes, you will want to play again, watching each event and image through the lens of information you can never un-know. BioShock Infinite is more than just a quality game: it's an important one.
Joystiq:

While the end of 2013 will be filled with talk about a new generation of video games, BioShock Infinite's narrative will stand out as an achievement, helping put a cap on a generation that propelled narrative as a focus for the industry. Undoubtedly the finest game crafted by Irrational Games, BioShock Infinite is one of the best told stories of this generation. It simply cannot be missed.
Metacritic(where i got most of that) has it rated at 96%. Reviews are still being posted, but the majority of the ones that are up give it a perfect score. Ive largely dodged what was written and gone straight to the verdict, but im damn tempted to read some of the reviews from actual news organizations. Only a few months removed from the election, im interested to see if the media will jump into this.