Having an authoritative voice, he frequently commentated on motoring and aviation events. He was the BBC's motoring correspondent from 1950 to 1966, including at least twenty Formula One races, the Le Mans 24-hour race, and the Monte Carlo Rally. To parody this, he was invited to appear in an episode of "Hancock's Half Hour" when Hancock entered the rally, and onto "I'm Sorry I Haven't A Clue" to commentate on sessions of Mornington Crescent. From 1967 to 1968, he was briefly Director of Motoring Publicity for the British Motor Corporation, while still presenting for the BBC. Following BMC's takeover by Leyland Motors, it was decided to dispense with Baxter's services in this post, and he returned to work full-time for the BBC. He presented the BBC's coverage of Farnborough Airshows from 1950 to 1986. He reported on the first flight of Concorde and was the first reporter to broadcast from an aeroplane, ocean liner and underwater. For thirty years, he was the regular commentator at the Royal British Legion's annual Festival of Remembrance at the Albert Hall and at the Royal Tournament. He presented the opening ceremony of the 1960 Summer Olympics, deputising for an indisposed Richard Dimbleby.