Cloverfield (2008)

A group of friends gather in downtown Manhattan to hold a surprise party for Rob Hawkins who is departing to take up a vice presidency in Japan. Hud is given the job of recording everything on a camcorder. But as gossip spreads around the room that Rob and Beth McIntyre were sleeping together, there suddenly comes news that a tanker has overturned in the harbour. As they rush onto the roof to see, there is a massive explosion. Out on the street, the head of the Statue of Liberty comes crashing past and then a vast monster is seen smashing buildings aside. Rob and a handful of others try to survive amidst the mass devastation as the military cordon the area off, evacuate people and try to fight back against the monster. Rob takes the others on a dangerous journey across town to rescue Beth from where she is trapped injured inside her apartment building.