Presuambly the question relates to self-service machines rather than ones in booking offices. On BR, as opposed to LT, there were a few mechanical machines; some built by Setright, better known for their bus ticket machines, were used at, from memory, Broad Street in the 1970s. These allowed selection by a passenger from a small range of fares and destinations.There was a brief trial with Autoslot machines- from memory on the Waterloo and City- in the 1970s, which were a coin in the slot for a simple fare job. In short these were of limited use for most bookings.The Swiss-built Autelca machines( there were several versions) were introduced by several European railways, including BR, in 1989 and was the first recognisably modern machine with push buttons and a fair range of options.
https://en.wikipedia.org/wiki/Ascom_B8050_Quickfare has more. Booking office machines have a far more venerable history. The oldest of all was the AEG Regina machine (ancestor of he Multiprinter) introduced at Birmingham Snow Hill c1911. This was German and went out of use during WW1 (can't think why.) The basic design was licensed to Westinghouse who built several machines for BR from about 1956- Snow Hill again, Euston and Liverpool St to name a few. The LNER intoduced the push-button operated Rapidprinter, again AEG/Westinghouse, in the 1930s for heavily used bookings- the standard LT booking office tickets of the 1940s to 70s were Rapidprinters too. The Southern opted for NCR21s form about 1968- a cash register into which was inserted an Edmondson card ticket, while other regions went for the Hugin HDA and then NCR51s- large white cards. These were all displalced by APTIS from the mid-80s which intreduced the format we all know and love (sic) today.