The Plymouth Barracuda is a two-door car that was manufactured by Plymouth from the 1964 to 1974 model years.The first-generation Barracuda, a fastback A-body coupe based on the Plymouth Valiant, had distinctive wraparound back glass and was available from 1964 to 1966.The second-generation 1967 to 1969 Barracuda, though still Valiant-based, was heavily redesigned.