Rudolph's Shiny New Year.A year after delivering Christmas presents, Santa Claus receives a letter from his friend Father Time asking for help to find Happy the Baby New Year before midnight on New Year's Eve, or else it will be December 31 forever. Santa sends Rudolph out to find him. An evil vulture called Eon the Terrible is supposed to live for exactly one Eon after which he will turn into ice and snow and disintegrate. As his particular Eon will end January 1 of the New Year, he plans to kidnap Happy to keep the year from ending and stop time, thus preventing his predestined death. Father Time speculates that Happy, who ran away due to his big ears being laughed at, is hiding out in the "Archipelago of Last Years", where the Old Years retire and rule over an island styled to resemble the year over which they ruled. Sent to assist in this journey are some agents of Father Time including General Ticker (a military clock), The Great Quarter-Past-Five (a camel with a clock in his hump), and Big Ben (a whale with a clock attached to his tail). Upon arrival in the Archipelagos, Rudolph first travels to the island belonging to a caveman named One Million B.C. ("O.M." for short). O.M. inhabits an island anachronistically inhabited with friendly dinosaurs and other prehistoric and long-extinct creatures. As Rudolph and his friends search for Happy (who left after his hat accidentally fell off and revealing his big ears, causing the dinosaurs to laugh), they repeatedly encounter Eon. After other off-screen visits to the islands of 4000 B.C., 1492, 1893, and 1965 have been completed without success, Rudolph and O.M. head for the island of 1023 (pronounced ten-two-three), belonging to a knight named Sir 1023, whose island is filled with medieval trappings along with several fairy tale and Mother Goose characters. Meanwhile, Happy managed to befriend the Three Bears, but becomes saddened when he removes his hat and exposing his big ears to them, causing him to leave again...