Using a Lotus 23, entered by Normand, a motor dealership for whom he worked,[1] he achieved 6 victories and 6 other podium finishes out of 15 starts.
[4] He also took part in the Oulton Park Gold Cup using a Lotus 24-BRM entered by the British Racing Partnership.
In 1964, Beckwith won the Marlboro 12 hour race in a Lotus Cortina, partnered by Jackie Stewart.
[4] In 1966, entries in the Lavant Cup at Goodwood and the Eagle Trophy at Brands Hatch yielded fourth place in the former.
[1] The same year, Beckwith participated in the Le Mans 24 hour race, competing in the P1.5 class using a Costin-Nathan GT, designed by Frank Costin and Roger Nathan.
[1] In 1969, Beckwith was entered in the Brands Hatch six-hour race in a works Lotus 62 (co-driven by Mo Nunn).
An entry alongside Nathan in the Costin-designed car (renamed as Astra RNR1 after Costin withdrew) in the 1000 km Monza was also not fulfilled.
co-driven again by Nathan, but did not finish in an Interserie event at Hockenheim using a group 7 Allegro sports car.