When on the iceberg ship, Sid the Sloth says "water water everywhere, but not a drop to drink". This is from "The Rime of the Ancient Mariner", a poem written by Samuel Taylor Coleridge in 1798. The actual line from the poem, however, is "Water, water everywhere, nor any drop to drink."
The Earth's Core information screen (seen when Scrat is falling to the center of the Earth) reads "Fig 4.1: The inner core is 6,000 kilometers below the earth's surface and composed primarily of molten lava. It is often drawn in textbooks to look like a floating pinball. Fun fact: It's near 7,000 C down there, so bring your oven mitts! Blue Sky Studios takes no responsibility for the scientific accuracy of the information presented here."
Peter DeSève designed several animals for the film that never made it to the final cut: eohippus (prehistoric horses), a large horse-like animal that Sid would have ridden, a giant squid, and several prehistoric sharks, that would have nearly eaten Granny, in the scene in which she takes a bath in the ocean.
Initially, in production, Gutt was designed as a bear, but in the end, Peter DeSève, the film's Art Director, settled on an ape, due to the ape's flexibility and four hands, which seemed more fitting to have him swinging on the ship's rigging.
When Sid's family shows up, Granny is seen riding tied in a seat on a poll in the log, this is a reference to The Beverly Hillbillies (1993) where Granny, whose very stubborn, and loves to play tricks, gets tied to a rocking chair on their car in an effort to get her to move to Beverly Hills.
There are many similarities between the film and Samuel Taylor Coleridge's 'The Rime Of The Ancient Mariner'. In the poem, the mariner's ship is overtaken by a storm and thrown to an unknown place surrounded by icebergs. Same event is seen in the movie too. Manny shouts, "How big is this ocean!" in dissatisfaction in the movie as their ship was unable to get to a shore. Similarly, in the poem, the sailors on the ship were desperately waiting to get to a shore after their ship was overtaken by a storm. When Sid, Manny and Diego retreat after the storm, the same situation is created as mentioned in the poem, 'A painted ship upon a painted ocean.' Sid also makes a reference to a line from the poem 'Rime of The Ancient Mariner', saying, "Water, water, everywhere, but not a drop to drink.", referencing to the line in the poem, 'Water, water, everywhere, nor any drop to drink."