Oh goodness, that is quite the difficult question. I tend to prefer the Scottish, Irish, British, and Australian accents (not in any particular order). Scottish is probably my favorite but I have a hard time choosing so I'll select that in the poll, but if I could vote multiple times I'd choose all of those.
Also, I don't believe that there actually is a "general" American accent. It tends to seem as though every region has their own accent, not just the south and New York. In New England it's pretty much every individual state that has their own accent. This isn't a suggestion for another choice on the poll, it's just my opinion on it.