In the Disney version of the book, the White Rabbit seems to have the most logic out of all the Wonderland characters. Thus, he is often the straight man for their zany antics; when he asks the Dodo for help on getting the "monster" (Alice) out of his house, Dodo's ultimate solution is to burn the house down, to which the White Rabbit is greatly opposed. At the Mad Tea Party, the Mad Hatter and the March Hare try to "fix" his watch, proclaiming it "exactly two days slow". Through various food they put in the watch (butter, tea, jam, and lemon), the two cause it to go mad, and the Hare smashes it with his mallet. The Rabbit was perhaps most famous for the little ditty he sang at the beginning - "I'm late! I'm late! For a very important date! I'm late! I'm late! I'm late!" The Rabbit was voiced by Bill Thompson.
Some believe the rabbit was late for the announcement of the Queen to the royal garden. The panic the rabbit showed was his fear of losing his head. Upon her arrival (where Alice has been helping to paint the roses red) the cards finish their song and the rabbit blows his trumpet (which he had been carrying for most of his lines) royally introducing the king and queen.
The Disney Rabbit made a few appearances on the Disney Channel original show, House of Mouse. His most noticeable appearance was when he confessed to Clarabelle Cow that "I'm not really late, and I don't really have a date. I'm a fraud!" He was voiced by Corey Burton, who would voice the Rabbit in all future speaking roles.
The White Rabbit also appears at the Walt Disney Parks and Resorts as a meetable character.