In 1950, at the invitation of Johnny Longden, Moore traveled to the United States where he won the San Diego Handicap at Del Mar Racetrack.
[1] In 1957 and 1958 George Moore won the Jockeys' Premiership at Sydney then in 1959 accepted an offer to ride in Europe for trainer/owner Alec Head of Haras du Quesnay and another major owner, Prince Aly Khan.
Returning to Sydney, Moore continued to win Jockeys' Premierships and in 1967 returned for a time to compete in Europe for trainer Noel Murless where he won the first three 1967 British Classics, the 1,000 Guineas, a second 2,000 Guineas, and his biggest win of all in British racing, the 1967 Epsom Derby.
In Australia, George Moore won numerous of the country's top races and was the jockey aboard Tulloch for nineteen of the Hall of Fame horse's thirty-six wins.
He was appointed an Officer of the Order of the British Empire (OBE) in the 1972 New Year Honours[3][4] and in 1986 was inducted into the newly created Sport Australia Hall of Fame.
In 1988, he rode the filly Ravinella to victory in the British Classic, the 1,000 Guineas, plus the French Poule d'Essai des Pouliches.
Like his father, Gary Moore also turned to training after his riding career was over and in Taipa has twice won the Hong Kong Macau Trophy as champion trainer.