This one almost doesn't qualify, but I think it does:
(hyphenated) American
My single biggest objection is to the recent invention "Native American" - for the simple reason that it denies me any sort of country to be native to. It says that I, a white descendant of multiple generations living in America, am STILL an immigrant in my own country. I refuse to use it or teach it to my children or pupils, except to discuss what people mean by it and its intrinsic meaning. I am a native American, for crying out loud! (If you must reject tradition - a bad idea in general - never mind that all names are misnomers, in a very real sense - then 'even a term like 'First Americans' would be more tolerable than what has been artificially foisted on us over the last 40 years.
Most of the other hyphenations, most notably "African American" and "Asian American" are also intended to confuse one's ethnic ancestry with one's cultural identity - and the test is the lack of such a hyphenation for those of European ancestry (often 5 or more generations removed) - does anyone here really claim to be a "European-American"? (I can hear the snickers from actual Europeans over this one.) Such terms are really only applicable if one is truly bi-cultural as well of a given ethnic ancestry; ie, if you really have lived in Africa or Asia as well as America and speak Swahili or Afrikaans or Cantonese or whatever as well as English. The practical purpose is to ensure division in one's identity. We are not united as Americans if we are divided as "African, or Asian, or 'Native' Americans" - or white Americans - the other proof that such terminology confuses skin color with culture and denies a common identity. (Notice the parallel with the divisions of Orthodoxy in America, by the way.)
If you were born and raised in the US, know no other language than English, and we can talk about Paul Bunyan, Bugs Bunny or baseball, you're an American, with no hyphens, in my book.