I don't think it would be that hard to get the pronounciation right in most languages, but it's just not emphasised in favour of grammar and vocab.
As for English accents, I find that one of the more charming things about this country. People aren't going to say you don't aren't native if you sound Liverpudlian, Australian, or American. By contrast in more localized languages people sniff a foreigner immediately on a missed vowel or wrong article.