Learn English – the closest alternative to “rubbish” in American English

You may be thinking of a Mid-Atlantic accent; it's a blend between an American accent and an English accent. As the Wikipedia article notes, film stars like Cary Grant and Katherine Hepburn used it, and more recently Cheers and Frasier star Kelsey Grammer.

You can hear it with Grant and Hepburn in 1940's The Philadelphia Story (clip on YouTube). Interestingly, Grant was born British and Hepburn American, both affecting the accent by drifting towards the mid-Atlantic (it was taught in acting schools at the time).

We seem to have adopted the term "intern". Certainly that's what my (small) British company is using to refer to both the student we have with us for a week's work experience and the older students in for summer jobs.