- Champion jockey in Thoroughbred horse racing in the United States.
- Won the Kentucky Derby in 1974, 1976, and 1985, the Preakness Stakes in 1980 and 1984, and the Belmont Stakes in 1976. Won four Breeders' Cup races.
- Voted Eclipse Award for Outstanding Jockey in 1982, 1983, and 1985. Voted the 1992 Big Sport of Turfdom Award.
- United States leading money-winning jockey in 1976, 1982, and 1983. Led all United States jockeys in wins in 1968.
- Inducted in the United States' National Museum of racing and Hall of Fame in 1988.
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