Not a dedicated channel, no; in the timeframe in question British TV was almost exclusively terrestrial (or broadcast) television, satellite and cable only starting to become significant towards the end of the 1980s. In 1960 there were only two channels (BBC Television and Independent Television (ITV)), a second BBC channel launched in 1964 (BBC2, with BBC TV renamed BBC1), then Channel 4 launched in 1982.

Both the BBC and ITV broadcast US series; for specifics there are archives for the Radio Times (covering the BBC) and the TV Times (covering ITV and later Channel 4); until 1991 those magazines had exclusive rights to print listings for the respective channels.

There were no channels dedicated to US TV in the time period you mention. The four channels (all terrestrial), BBC1, BBC2, ITV and Channel4 would show certain US TV programmes, but there was no channel wholly dedicated to US TV programming. TV Timewarp is a good source for old programmes shown on UK TV and you can get a feel for what US shows made it over.

Not really much at all until Sky One appeared in the early 90s.

Before then British TV showed the imports that were most popular in the States 2-5 years prior and did not require any understanding of US politics, sport or culture (beyond the obvious), mainly on Channel 4 when that came out, although BBC2 showed a bit as did ITV. So we are talking a few westerns and Star Trek/ Tom and Jerry/Flinstones in the 60s, stuff like Mork and Mindy and Happpy Days slightly later, then Dallas and Dynasty before Sky introduced the Sky One channel which started to bring a lot more stuff like The Simpsons over in the early 90s. Kids TV was a lot earlier, while the Brits still don't show the under 5s much imported programming (Sesame St was the exception) they brought in all the US cartoons in the early to mid 80s.

The big block for anything was mention of sports or politics, anything that you would require knowledge of life in North America to understand. The internet changed this massively, I can watch an episode of Family Guy or South Park and fill in any jokes that left me confused using the net.

The other big catalyst was sky in the 90s. Sky came in aggressively by bringing US imports (the aforementioned Simpsons, Star Trek; TNG/DS9, Space above and Beyond etc were all heavily billed) and sport. The terrestrial channels had long been showing massive amounts of sport (particularly snooker and cricket, which take hours of time but bring in viewers and are cheap to film) and when Sky showed the leagues the money, they joined up with them leaving a big gap in programming for the terrestrial channels to fill.

Until sky offered even more channels in the mid 90s (discovery, CNN etc) there was no way to see american news programming or documentaries, although the latter because the British were world leaders at making and didn't need US input.

Also, for a period in the late 80s/early 90s its fair to say that the most popular imports were from Australia. And A.L.F was much more popular in Germany than in the UK.