You'll stumble upon so many biz partners in London that will surprise you with much worse accents. Big cities demand funny accents - so we Austrians are safe…
Just pay attention to the tones and stresses in conversations with Brits & try hard to notice the differences. Changing from American English to British feels a bit ridiculous if you're not used to it (overpronunciation?).
edit: btw: http://www.dict.cc shows translations of whole spoken phrases, it's hard to find something there, but in general the database of http://www.phrases.org.uk/ is ok. Probably you'll find something on http://www.bbc.co.uk/worldservice/learningenglish/ but I think the level is too low.