My dad has no accent (by American standards--he's from eastern Iowa). My mom used to have a very strong southern New Jersey accent (they drink "wooder") but she went to college in Pennsylvania and got teased so badly that she consciously got rid of it. The rest of her family still talks like B-movie bootleggers, though.

I don't know if I have an accent or not. I've lived all over the US (Michigan, Pennsylvania, Colorado, Texas) so I probably don't have any accent very strongly. I think I used to have a muddled northeastern twang of some sort because friends in Colorado teased some of my pronunciations. I've lived in Texas 11 years and have probably picked up aspects of that, too ("bayou" is pronounced "by-o").