During his professional career, Stonebreaker played all 14 games each year except for 1966 and 1967, when he played only 4 and 10 games, respectively.[3] He played in the 1964 NFL Championship Game as a member of the 12–2 Baltimore Colts but lost 27–0 to Cleveland Browns.
After he retired from football, Stonebreaker had several jobs including serving as a New Orleans Saints color commentator for WWL Radio from 1973 to 1975.[4] He later opened a restaurant called Stonebreaker's at 2700 Edenborn Avenue in Metairie, a close suburb of New Orleans.[5] Stonebreaker's specialties were barbecue baby back pork ribs and crabcakes, which he learned to make when he played for the Baltimore Colts. The interior decor of the restaurant was NFL memorabilia. The restaurant closed shortly after his death.[6] At the time of his death, the restaurant was in financial trouble and Stonebreaker may have learned that his previously diagnosed cancer had returned.[7] Stonebreaker committed suicide on March 28, 1995, at the age of 56, by subjecting himself to carbon monoxide poisoning from a car exhaust.[8]