An interesting discussion. I am an Australian, and am in the USA (Washington DC) for a few months. My accent has been described by some Chinese friends as "refined", meaning closer to Received Pronunciation than Broad Australian. Perhaps it was my father's influence, as he was born in London and only came to Australia after marrying my mother (who is Australian). When I go to the UK, the people there pick me as Australian straight away though.
Here in the US I am commonly asked where in England I am from. I guess it's the Steve Irwin influence. Americans don't seem to be able to identify an Australian accent unless it's broad "Strine" (as spoken by Irwin or Paul Hogan). In terms of my accent preferences, I don't really care, so long us I can understand the speaker. If a person who has learned English as a second language (
ESL) is speaking to me, all I care about is their ability to speak the words clearly (Also they need to speak loudly enough. Some
ESL speakers seem very shy and therefore speak too softly to be heard). The other thing I like is consistency. If you're learning one type of English, try to stick with it. Mixing up spelling, vocabulary and pronunciation from British and American English makes the speaker's English sound poor in my opinion.