If you live near the West Coast, the BBC can be heard in English early mornings on a couple of the SW bands (41 meters and 49 meters). Radio Australia can be heard in English during the early morning as well (9580 is a good frequency). Radio New Zealand International can be heard during the evenings (and mornings, too, I think) on the 25 and 31 meter bands.
Near the East Coast there may be other English options. I've heard the BBC transmitting from Ascension Island to Africa before, and I live in the PNW, so if it's still on the air you may hear it OK.
Otherwise, learn to ID languages (you don't have to understand them) so you can ID what you hear on SW, because it's turned into a Third World only broadcast medium (US Relig b'casters aside).
PS, if it uses a SiLabs chip, no external antenna may be necessary. They're very sensitive off the whip (I've logged China Radio Int'l broadcasting to Europe from Kashgar on my Grundig G2, just off the whip). Some SiLabs radios can overload (my G2 does sometimes, I just lower the whip and it clears it up). Other Tecsuns and similar SiLabs equipped radios may not overload so much.