is it a member of any association?
Yes, he was one of only two horses to have been a member of the American Quarter Horse Association Hall of Fame as well as being an offspring of members.
Easy Jet
was one of only two horses to have been a member of the American Quarter Horse Association (or AQHA) Hall of Fame as well as being an offspring of members. 
what is easy jet? American Quarter Horse when was it born? 1967
wiki:16147433
Easy Jet [SEP] Introduction
Easy Jet (1967–1992) was an American Quarter Horse foaled, or born, in 1967, and was one of only two horses to have been a member of the American Quarter Horse Association (or AQHA) Hall of Fame as well as being an offspring of members. Easy Jet won the 1969 All American Futurity, the highest race for Quarter Horse racehorses, and was named World Champion Quarter Race Horse in the same year. He earned the highest speed rating awarded at the time—AAAT. After winning 27 of his 38 races in two years of racing, he retired from the race track and became a breeding stallion.