2-door fastback coupe (1964-1969) 2-door notchback coupe (1967-1974) 2-door convertible (1967-1971) Layout FR layout The Plymouth Barracuda is a car that was manufactured by the Plymouth division of the Chrysler Corporation from 1964 through 1974. Contents 1 1964-1966 2 1967-1969 3 1970-1974 4 1975-Current 5 References 6 Additional reading   1964-1966