During his career, Baker won nineteen races including the 1980 Daytona 500, NASCAR's most prestigious race. His victory remains the fastest Daytona 500 ever run, with an average speed of 177.602 mph (285.809 km/h).
Baker is one of eight drivers to have won a Career Grand Slam, by winning the sport's four majors – the Daytona 500, Aaron's 499, Coca-Cola 600, and the Southern 500.; Richard Petty, David Pearson, Bobby Allison, Darrell Waltrip, Dale Earnhardt, Jeff Gordon, and Jimmie Johnson are the other seven to have accomplished the feat. He is the only one of the eight to not win the championship.
He generally raced part-time, competing in every race in only three seasons. He owned a car with Danny Schiff from 1985 to 1989, and was instrumental in the career of Jimmy Spencer. He competed in two International Race of Champions series. His final race in NASCAR was in 1992.
In 1997, Buddy Baker joined his father as an inductee in the International Motorsports Hall of Fame in Talladega, Alabama. He was inducted into the Charlotte Motor Speedway Court of Legends in 1995, and into the National Motorsports Press Association Hall of Fame inductee in 1997. He was named one of NASCAR's 50 Greatest Drivers in 1998.