Meyer set world records in 200-meter, 400-meter, and 800-meter freestyle swimming events at the U.S. Olympics trials. Her winning times at the Olympic Games were 2:10.5 for the 200-meter, 4:31.8 for the 400-meter, and 9:24.0 for the 800-meter distances, all of them new or first-time Olympic records.
In 1968, the women's freestyle races at 200-meter and 800-meter distances were added to the Summer Olympics for the first time. Before this, the longest race for women was the 400-meter freestyle, despite the fact that the male competitors had had the 1,500-meter freestyle race (the metric mile) for decades, dating back to 1896.
On July 5, 2004, Meyer was inducted into the American National High School Hall of Fame. In memory of her Olympic achievements, Meyer has ordered and used the custom California automobile license plate "3GOLD68".
Meyer is married to Bill Weber. She owns the Debbie Meyer Swim School in Carmichael, California. According to the business website, Meyer has taught swimming in the area around Sacramento, California since the 1970s, and she opened her own school in 1993. Along with teaching both children and adults to be safe in the water Meyer is coaching the Truckee Tahoe Swim Team in Truckee, California.