The first British office to have STD (Subscriber Trunk Dialing) go into operation was Bristol, somewhere around 1957/58.
Over here though the GPO opted for a charging system somewhat different to AMA. Billing was by way of meters, stepped at a frequency dependent upon the time of day and the type of call, with each "unit" then being charged at a certain amount.
For many years there were only three basic zones for calls within the United Kingdom: Local rate, "a" rate which was outside local and generally up to a radius of about 35 miles from the group center, and "b" rate for everything beyond that. This system kept the billing relatively simple, but of course we are an entire country which covers only about the same land area as Oregon.
Manual dockets were kept and sent for processing for all operator-connected calls.
-- Paul