Something I notice as a nonnative speaker is that my fellow nonnative speakers often try really hard to sound British. They put more effort into sounding the right way than actually trying to use the language correctly and increasing their vocabulary.

Quite often people get praise for their "good" English because they've adopted a British accent even when their grammar isn't right or use words with the wrong meaning.

Personally I don't care if someone speaks English with a Spanish, German, French, Dutch, Indian, Swedish, or any other accent. Americans don't sound like Brits, Brits don't sound like Kiwis, Kiwis don't sound like Canadians, but they're all native speakers. I prefer someone who can communicate effectively in the language over someone who can fake an accent the best.