Description Classic Austin Mini Cooper. The Mini was an iconic British car design, coming into production in 1959. The Mini Cooper was a sport version of the standard mini with a race-tuned engine, twin Su carburettors, closer-ratio gearbox and front disc brakes. The Cooper name came from the involvement of the Copper Car Company in it's design. The Mini Cooper S won the Monte Carlo Rally in 1964, 1965 and 1967.