Dr. Coleman graduated from Cleveland High School and Delta State College, and won a Kellogg Scholarship to the University of Tennessee Medical School at Memphis, Tennessee.
He served as an Air Force medical officer in the South Pacific and later in Kansas from 1948 to 1950.
He practiced medicine in Waco from 1955 to 2000, and was active for almost 60 years in civic and benevolent projects through The Salvation Army, the Gideon Society and Aldersgate, which provides house and vocational training for persons with limited abilities.
Dr. Coleman served the Methodist Church in many lay offices over the years. He was recognized during his service as a Texas Layman of the Year.
He married Esther Lillian Weiss, an anesthetist, in 1946 when they both worked at Scott and White Memorial Hospital in Temple, Texas.
Mrs. Coleman predeceased Dr. Coleman in 2008.
They had two children, James Arch Coleman III, who died in 1998, and Brenda Catherine Coleman of Chicago.
He is survived by his daughter Brenda; a sister, Mrs. Eleanor Garrett of Cleveland; his daughter-in-law Mary McNabb Coleman; two grandchildren James Arch (Jake) Coleman IV, and Amy Leigh Martin; and two granddaughters, Ellen Coleman and Emily Coleman, all of Waco; two nephews, David Coleman of Cleveland and Thomas Harris of Miami Beach, Fla.
Dr. Coleman was president of the McLennan County Medical Society in 1974, and chief of the medical staff at Hillcrest Hospital in the 1970s.
The family asks that in lieu of flowers, memorials might be sent to the Aldersgate Enrichment Center, PO Box 1406, Brownwood, TX 76804-1406.