The 1970 Mustangs included the hardtop, convertible, fastback designed Sports roof, Grande hardtop, Mach I, Boss 302 and the limited production Boss 429. The Mustang Mach I, introduced in 1969, was popular again in 1970.The third-generation Mustang was produced by Ford from 1979 until 1993. Built on Ford's Fox platform, it is commonly referred to as the Fox body Mustang.