Audio problem: After Stark escapes, he is walking in the desert, and crests the brow of a sand dune. Then, helicopters burst into view over him and you hear them for the first time. Stark was on the brow of the dune and should have heard them long before.
Audio problem: When the Statue of Liberty's head strikes the top of a distant building before landing in the street, sight and sound are simultaneous. There should have been an audible lag in the sound due to the speed of sound being only about 1000 feet per second. The absence of this lag would be acceptable in most movies but is inconsistent with the amateur home movie theme of Cloverfield.
Audio problem: In the scene when he goes back to his home and finds his dad on the floor, he walks into the house and you can see Family Guy playing on the tv and hear it very quietly. Unfortuanately, the audio is coming from a completely different scene in the episode than the video. (You can see Lois is in the zoo, which comes from the beginning of the episode, yet the conversation you can hear is when they are sat in the kitchen towards the end of the episode.)
Audio problem: When the general asks how Blonsky was doing, he doesn't open his mouth. (01:07:40)
Audio problem: When Mom goes to slap her kids after they fail to find Farnsworth, Fry and Leela, she slaps Walt but you don't hear it until she's halfway through slapping him. (00:47:30)
Audio problem: When Leela says "I'm saving my neck for a rich handsome Dracula!" whilst being ambushed by Vivo, her mouth doesn't match what she's saying at the end of the sentence. (01:01:10)