Throughout his eventing career Meade was the outstanding rider of his time and the lynchpin of British teams for 21 years. In 1964, he won the Burghley Horse Trials on Barberry. Meade was a member of Britain's gold medal winning team at both the 1968 and 1972 Summer Olympics, and also won the individual gold in 1972. He also competed in the 1964 and 1976 Olympics, as well as the substitute competition in Fontainebleau during the partial boycott of the 1980 Moscow Olympics. Meade also won two World Championship gold medals and three silver medals, as well as three European Championship gold medals and two bronze medals. He twice won the Badminton Horse Trials, in 1970 on The Poacher and in 1982 on Speculator III. Following the Munich massacre during the 1972 Olympic games, Meade was flown back to London to read a lesson at the memorial service for the victims. He then returned to carry the union flag during the closing ceremony of the games. Meade excelled at the major events and championships; in four Olympic games he never finished out of the top eight places. When he retired he was 6th in the list of the most successful British Olympians of all time across all sports; he is currently equal 11th. Despite winning both the team gold and the individual gold medals at Munich in 1972, he felt that his greatest Olympic memory was four years earlier at Mexico where Britain won the team gold in very difficult conditions after intense rainfall. He felt his best performance was at the 1976 Montreal games riding Jacob Jones, who was a relatively cautious horse; they finished 4th individually.
After his retirement from competing, Meade was a dedicated contributor to the equestrian world. He served on the British Horse Society’s Council and was Chairman of the British Horse Foundation. He was also formerly President of the British Equestrian Federation, a member of the International Equestrian Federation’s Eventing Committee and then a Bureau Member and Chairman of its Northern European Group of Nations. He served on the sport's governing body in the UK continuously for over 30 years until after its reorganisation in 1996 when he was made a Vice President. He was an FEI Judge and Course Designer, roles that took him all over the world. He was also a well-respected judge of show horses. Latterly, Meade worked as an equestrian expert witness and continued to train riders from his home in South Gloucestershire.
Fox-hunting
In 2001, the RSPCA expelled Meade for organising a campaign to encourage supporters of fox hunting to join so as to put pressure on the society to change its policy.