The Classic TV. The Flintstones is an American animated sitcom produced by Hanna-Barbera Productions. The series takes place in a romanticized Stone Age setting and follows the activities of the titular family, the Flintstones, and their next-door neighbors, the Rubbles (who are also their best friends). It was originally broadcast on ABC from September 30, 1960 to April 1, 1966, and was the first animated series to hold a prime time slot on television. The continuing popularity of The Flintston