Andrew Astbury (born 29 November 1960) is an English former competitive swimmer who represented Great Britain at the Olympics and England in the Commonwealth Games in the late 1970s and early 1980s.
In his international swimming debut as an 18-year-old, Astbury represented England at the 1978 Commonwealth Games in Edmonton, Alberta, where received a bronze medal for this third-place finish in the men's 1500-metre freestyle.
In the first of two consecutive Summer Olympics in which he appeared, Astbury swam for Great Britain at the 1980 Summer Olympics in Moscow. He was a member of the sixth-place British team in the men's 4x200-metre freestyle relay. In individual competition, he also competed in the preliminary heats of the 400 and 1500-metre freestyle events.
Competing for England at the 1982 Commonwealth Games in Brisbane, Australia, Astbury won gold medals in the 200-metre and 400-metre freestyle races in Commonwealth record times. He also won a silver medal as a member of the English men's team in the 4x200-metre freestyle relay, and a bronze medal in the 1500-metre freestyle.
At the 1984 Summer Olympics in Los Angeles, California, he claimed the bronze medal in the 4×200-metre freestyle relay, together with British teammates Neil Cochran, Paul Easter and Paul Howe, finishing behind the Americans and West Germans. He also advanced to the B Final of the 400-metre freestyle, finishing sixth in the consolation final (14th overall), and competed in the preliminary heats of the 1500-metre freestyle.