Just finished the game and I wanted to post the bugs I encountered while playing Crysis 3 on the 360.
Sound - its very choppy - at first I thought it was my old stereo system, but I see others have noted this issue.
Visor Mode - (where you can hack stuff) sometimes would not disengage - so I would have to let enemies kill me or jump to my death and restart from last checkpoint.
Diapering weapons - sometimes I would pick a new rifle and my 'old' weapons would be all that I could select.
Unable to reload weapons - sometimes I could not reload my weapon - i.e. the HUD would display 0 of 100 rounds and I could not reload my weapon. I noticed this mostly on the rocket launcher - if I has two rockets the game would not let me reload the launcher to use the second round.