Despite limited formal art training, he rose to prominence at Disney very quickly in the early 1930s, due to his great natural talent and the tremendous appeal of his drawings.
(In "All The Cats Join In", Moore personally animated the sequence at the beginning, when the girl answers the telephone and then quickly showers and dresses, through to her scene putting on lipstick in front of her mirror).
During the 1930s, Moore, Art Babbitt, Norm Ferguson, Bill Tytla, and Ham Luske were the dominant Disney animators whose pioneering work culminated in 1937 with the breakthrough of Snow White and the Seven Dwarfs.
Moore makes a brief (and quiet) live-action appearance in the 1941 feature The Reluctant Dragon, along with Kimball and animator Norm Ferguson during one of the studio tour sequences.
Moore was already at work animating the mermaids and the lost boys for Peter Pan when both he and his second wife, Virginia, were injured in a traffic accident early on the evening of Saturday, November 22, 1952, when their car was struck head-on while she made a U-turn on a rural highway through Big Tujunga Canyon near the Angeles National Forest.
The Moores were reportedly returning from a day spent watching an American football game with fellow Disney artist Jack Kinney.
Moore died the following day at St. Joseph's Hospital in Burbank, California, located across the street from the Disney Studios, from a cerebral hemorrhage resulting from a concussion.