The various motorcycle manufacturers did their best to compete. In 1958 Triumph had introduced the Bonneville, named after the salt flats in the US where it had set the world speed record. In 1966 they produced a unit construction version of the Bonneville with a 4-speed gearbox and an engine developing 47 hp.
Honda introduced their Honda Dream CB72 in 1961, and ”persuaded” Elvis Presley to ride one of them in the film ”Roustabout” in 1964. Elvis was a Harley enthusiast, but no doubt a suitable fee persuaded him.