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In 1972, he was named an honorary member of Cowboy Artists of America. In 1973, he was one of twenty-four academics entered into the National Academy of Western Artists. In 1974, he received the Honorary Trustees Award from the National Cowboy Hall of Fame in [[Oklahoma City]],  as "the man who has done the most for Southwest history" through his paintings.<ref name=exhibit>A. R. Mitchell Museum exhibits, 150 East Main Street, Trinidad, Colorado.</ref>

In 1972, he was named an honorary member of Cowboy Artists of America. In 1973, he was one of twenty-four academics entered into the National Academy of Western Artists. In 1974, he received the Honorary Trustees Award from the National Cowboy Hall of Fame in [[Oklahoma City]],  as "the man who has done the most for Southwest history" through his paintings.<ref name=exhibit>A. R. Mitchell Museum exhibits, 150 East Main Street, Trinidad, Colorado.</ref>

Four years after his death, the A.R. Mitchell Museum of Western Art was opened in 1981 on the Santa Fe Trail National Scenic Byway at 150 East Main Street in downtown Trinidad at the location of the former Jamieson Department Store. The museum displays some 250 of his major works, which are similar in theme to the better known western artists Frederic Sackrider Remington (1861-1909) and Charles Marion Russell (1864-1926). The lifelong bachelor called his paintings "my children."<ref name=exhibit/>​

Four years after his death, the A.R. Mitchell Museum of Western Art was opened in 1981 on the Santa Fe Trail National Scenic Byway at 150 East Main Street in downtown Trinidad at the location of the former Jamieson Department Store. The museum displays some 250 of his major works, which are similar in theme to the better known western artists Frederic Sackrider Remington (1861-1909) and Charles Marion Russell (1864-1926). The lifelong bachelor called his paintings "my children."<ref name=bio/>​

Among his displayed works, none of which are dated in the museum collection, are "When Nights Are Long," "Lazy Day," "Shadows at the Longhorn," "Homeward Bound," "Morning Friskies," "The Get-Away," "Bulldogger," "Holdup at First National Bank,'' and "Driving off Rustlers."​<ref name=exhibit/>

Among his displayed works, none of which are dated in the museum collection, are "When Nights Are Long," "Lazy Day," "Shadows at the Longhorn," "Homeward Bound," "Morning Friskies," "The Get-Away," "Bulldogger," "Holdup at First National Bank,'' and "Driving off Rustlers."​<ref name=exhibit/>