"Have you ever been to Japan" and "Have you ever gone to Japan" in American English.
According to "Dictionary of Common Errors"(Longman), gone instead of been is an error in British English, but in American English it "can be used." Here's the question. How often do you hear "Have you ever gone to... ?" Or, have you ever said that ? I haven't heard of that phrase from media and my American friends. I'm wondering. (*c*)

Question

"Have you ever been to Japan" and "Have you ever gone to Japan" in American English. 
According to "Dictionary of Common Errors"(Longman), gone instead of been is an error in British English, but in American English it "can be used."  Here's the question. How often do you hear "Have you ever gone to... ?" Or, have you ever said that ? I haven't heard of that phrase from media and my American friends. I'm wondering. (*c*)

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as a native I'd say "have you ever been to japan?" "gone" sounds a bit foreign but you could probably get away with it here.

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如果把句子中的you换成she 或者其他人称代词，也许你就明白了

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No, never,but it would be a big dream.

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@Mr.Denis Thanks for your comment ! This usage is very interesting and brought me an aha experience. Btw, I have gone to England once ! I'd like to visit the lake district next time. :)

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Yes, "have gone" is acceptable in American English. 
The meaning of the verb "to go" in that case is "to travel". 
Here is the form:
I go to England every year.
I am going to England this year.
I have gone to England every year for years. "Have you ever gone to England?"