In all seriousness, it depends. Many people don't consider themselves as having an accent, but upon reflection, most realize they do. I know I speak like someone from Northern California (normally), just as someone from the South might speak with a southern accent, or a New Yorker might speak with a New York accent.
I have to admit this but the general Midwestern American Accent sounds "normal" to me (what an average person will talk like) while British Received Pronunciation makes a person sound more intelligent and like a scientist.