The reception that BioShock Infinite's cover art received from members of the fan community... wasn't very welcoming. The box art, which features protagonist Booker DeWitt in a fairly familiar "burdened hero" sort of pose, was deemed too generic for a game franchise that challenges the notions of what sorts of stories interactive narratives can impart.
Irrational's Ken Levine reassured fans about the cover, explaining that the official art is aimed at selling Infinite to a wider audience. In a move meant to appease fans, a number of alternate cover designs are being offered up now on Irrational's website. They'll be voted on by you, the fans, and the winner will be printed on the game's reversible inner jacket. I went with #6, but #4 seems to be the leading choice right now. They're both gorgeous though. Take a look and cast your vote.